Consider the following sequence. -5,5,15,25,35. Write an explicit formula for the sequence.

Answers

Answer 1

This sequence's explicit formula is [tex]a_n=-5+(n-1)*10[/tex]

What is a sequence?

A sequence is indeed an acknowledged group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has individuals.  The length of the series is the number of components (potentially infinite).The convergence features of sequences can be used to analyze functions, spaces, as well as other mathematical structures in a variety of mathematical fields. In particular, sequences serve as the foundation for series, which are crucial to analysis and differential equations.

The common distinction is equal to:

10

The sequence's total is equal to:

40

This sequence's explicit formula is:

[tex]a_n=-5+(n-1)*10[/tex]

This sequence's recursive formula is:

[tex]a_n=a_((n-1))+10[/tex]

Next terms:

-5,5,15,25,35,45,55,65,75,85,95...

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Related Questions

5. Combien de paires de nombres naturels peut-on former dont : a) la somme est 23? b) la différence est 100?​

Answers

Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

Translate this sentence into an equation.
The difference of Goran's height and 10 is 57
Use the variable g to represent Goran's height.

Answers

Answer:

g-10=57

Step-by-step explanation:

'Difference' means to subtract.


Solve.
c = kny, for y

Answers

The solution of the equation c = kny, for y is y = c/kn

How to solve the equation c = kny, for y?

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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HELP ILL GIVE BRAINLIST

Answers

Answer:

equation: x + 50 = 180

solution x = 130

Step-by-step explanation:

supplementary: angles that add to 180

50 +  x = 180

180 - 50 = 130

x = 130

Answer:

the equation is x+50=180

solution is 130

Step-by-step explanation:

A straight line is 180 degrees so 180-50=130

So the equation is x+50=180

solution is 130

How much must be the last repayment be made if the loan is terminated after 5 year for which a loan of K10,000 is taken at 12% p.a. flat, where the loan is repaid by equal quarterly repayments for 9 years?​

Answers

Answer:

Step-by-step explanation:

I can't understand, ​

Answers

Answer:so dividing you add a extra zero behind the dot or point while multiplying you decrease the decimal to a whole number

if it is right pls give me brainliest

Step-by-step explanation:The relationship between 0.8 divided by 10^2  and 0.8x10^2 is that  0.8 divided by 10^2 means you add extra zero to the dot like this 0.008 so what it mean is that  10^2 is to add extra zeros in front of the point or dot in 0.8  while 0.8x10^2 decreases the zero like this 80 so we remove the 0 in 0.8 which mean 0.8 is no longer a decimal but a whole number now and then add a extra zero because 10^2  mean  add two zeros so if you see a number infornt of 10^  like 2 is how many zeros you add. so you add to extra zeros to 0.8 which decreases

Nora has a box of 1 hundred cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make?

Answers

Answer:

17

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40 fVs. The ball's height h (in feet) after / seconds is given by the following.
h=6+401-16r²
Find all values off for which the ball's height is 28 feet.
Round your answer(s) to the nearest hundredth.

Answers

The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.

What is a quadratic equation?

In algebra, a quadratic equation( from Latin quadratus' forecourt') is any equation that can be rearranged in standard form as

ax^2 + bx + c = 0

where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)

The figures a, b, and c are the portions of the equation and may be distinguished by calling them, independently, the quadratic measure, the direct measure, and the constant or free term.The values of x that satisfy the equation are called results of the equation, and the roots or bottoms of the expression on its left-hand side. A quadratic equation has at most two solutions.

Given,

h(0)=6 ft (six)

v(0)=40 ft/sec (fourty)

h(t)=6+40t-16t2 (equation)

for h=28 ft(twenty eight)

28=6+40t-16t2 (equation)

or 16t2 - 40t + 22 = 0 (equation)

or 8t2 - 20t + 11= 0(equation)

on solving the quadratic equation

t=0.817sec and 1.683sec (answer)

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Evaluate and leave your answer in simplest form
(-4/3) (5/12) (9/10) step-by-step

Answers

-1/2 is the answer.
-1/2 is the answer..

Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer

Answers

Answer:

sweefe

Step-by-step explanation:

EFEFEEa

I need help
What is x/10 = 4

Answers

Answer:

40

Step-by-step explanation:

another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.

Answer:X=40

Step-by-step explanation:

Do children weigh 160 pounds together the oldest weighs 120lbs more how much do they each weigh

Answers

Answer:

One child weighs 120lbs, and the other weighs 40lbs.

Step-by-step explanation:

Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:

120 + x = 160

Subtract 120 from both sides

x = 40

FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.

Which expression has a greater value?
(2,040329) x 5
2,040329

Answers

Answer:

2,040329×5

Step-by-step explanation:

you are multiplying 5 more to the number so it will be 5 times larger than the other number

Answer:      (2,040329) x 5 =10.201645

Step-by-step explanation:

they are both equal too so its neither is greater

4/5 divided 1/10 math problem trying to figure out

Answers

Answer:

8

Step-by-step explanation:

(4/5)/(1/10)

oreja

take the top most number and bottom most number, multiply the two. Then multiply the two middle numbers.

(4*10)/(5*1)

Simplify and you get:

40/5

=8

graph the lines Slope -1 passing through point (2,2)

Answers

The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1 that passes through the point (2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):

Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1

Step 2 - Point-slope form can be used in order to determine the equation of a line.

y-y1 = m(x- x1)

where m is the slope and (x1, y1)  is the point on the line.

Step 3 - Substitute the known terms in the above formula.

y-2 = 1(x-2)

Step 4 - Simplify the above equation.

y-2=x-2

x=y

Step 5 - Now, graph the above equation. The graph of the equation

(y = x ) is attached below.

                                               

                                                                                                                         For more information, refer to the link given below:

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M is the midpoint of AB. Q is the midpoint of AM. and T is the midpoint of QM. If the coordinates of A and B are a and b. find the coordinates of Q and T in terms of a and b.

Answers

The the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4].

What is Mid-point of a Line segment?

The mid-point of a line segment is a point on the line segment which divides it into two equal parts.

Given is a line segment AB whose mid-point is M with a and b being the coordinates of A and B respectively. Further, Q is the midpoint of AM and T is the midpoint of QM.

[Refer to the image attached for clear explanation]

Since M is the mid-point of AB, therefore the coordinates of point M will be = M [(a + b)/2]

Now, Q is the mid-point of AM. Therefore, the coordinates of Q will be =

[(a + b)/2 + a]/2 = Q [(3a + b)/4]

and

T is the mid-point of QM. Therefore, its coordinates will be =

(a + b)/2 + (3a + b)/4 = T [(5a + 3b)/4]

Hence, the the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4]

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Martha has 9 feet of red ribbon and 6 feet of green ribbon. How many yards of
ribbon does she have altogether?

Answers

Answer:5

Step-by-step explanation:9 ft of red ribbon plus the 6 ft of green ribbon would make 15 feet of ribbon

1ft=3yds

Which mean you would have 5 yards of ribbon.(15 divided by 3=5)

1. Which of the following sequences are arithmetic?
For those sequences that are arithmetic, identify
d and write an expression for an, in terms of n, the
term number.
I. 100, 98, 96, 94, . . .
II.
64, 32, 16, 8, ...
III. 2¹+1, 22+1, 23 +1,24 + 1,...
IV.
3 13 17 7
4'12'12'4
.....

Answers

The arithmetic sequence from the collection is I

an = 100 +( n + 1) 2

What is an arithmetic sequence?

For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.

The nth term of an arithmetic sequence is expressed as;

[tex]an = a + ( n + 1) d[/tex]

Thus, the arithmetic sequences are given as follows:

100, 98, 96, 94, . . . d = 2

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

The nth term is given as;

an = 100 +( n + 1) 2

Thus, the arithmetic sequence from the collection is I

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Allison ran 5 miles in 40 minutes before running an additional 3 miles in 27 minutes is this proportional are not pls help ASAP

Answers

Answer:

no it is not proportional...

Step-by-step explanation:

5 miles/40 minutes is 1/8

3 miles/27 minutes is 1/9...

2/3x=6

a. x=9
b. x=4
c. x=18
d. x=12

Answers

option (a) x = 9

Step-by-step explanation:

2/3x = 6

2x = 18

x = 18/2

x = 9.


Find the area of AXYZ. (Hint: Draw a rectangle whose sides contain points X, Y, and Z.)
Ay
Y
-4
X
-2
Area: I
4
2
-2
N
2
square units
4 x
So

Answers

The area of triangle XYZ is of 13.3 units².

What is the missing information?

The missing information are the vertices of the triangle, given as follows:

X(-3,2).Z(1,-1).Y(3,4).

What is the area of a triangle?

The area of a triangle is given by half the base multiplied by the height, that is:

A = 0.5bh

For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:

[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]

b = sqrt(25)

b = 5.

The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:

[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]

h = sqrt(4² + 3.5²)

h = 5.32.

Thus the area of the triangle is given by:

A = 0.5 x 5 x 5.32 = 13.3 units².

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vertical compression by a factor of 1/3 and a reflection of why axis f(x)= 6x-2

Answers

Answer: f(x)=(-6x-2)/3

Step-by-step explanation:

f(x)= 6x-2

f(x)= (6x-2)*1/3       ==>Vertical compression

f(x)=(6x-2)/3

f(x)=(6(-x)-2)/3      ==> reflection over y-axis is when x is being negated

f(x)=(-6x-2)/3

A shirt and a tie are 57 together if the shirt is $29 more than the tie how much money is the Tie worth

Answers

Answer:

$14

Step-by-step explanation:

The tie costs x.

The shirt costs x + 29

Together they cost $57.

x + x + 29 = 57

2x + 29 = 57

2x = 28

x = 14

Answer: $14

Answer:

14

Step-by-step explanation:

Tie is X

Shirt is x + 29

So,

X+X+29= 57

2x+29= 57

57-29= 2x

28=2x

X= 14

So tie is 14 bucks

Sixty-three and six-teen-thousandths

Answers

Answer:

63 and 16,000

Step-by-step explanation:

Please help i dont understand ​

Answers

Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

21

b) 2x-7

2(6) -7

12-7

5

c) 8x+5

8(6)+5

48+5

53

d) 4(x+3)

4(6+3)

4(9)

36

e) x²-(-4)

6²-(-4)

36+4

40

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576

Help please asap i need it

Answers

Hi
Check out the attached photo

The length of a rectangle is 5 in longer than its width.

If the perimeter of the rectangle is 58 in, find its length and width.

Answers

Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

what is 4.32 x 10^4 written in standard form

Answers

Answer:

43,200

Step-by-step explanation:

4.32 x 10∧4

10 x 10 x 10 x 10

4.32 x 10000

43,200

What number is under the fraction bar

Answers

Answer:

Denominator

Step-by-step explanation:

The Denominator is under the fraction bar. The numerator is above the bar

Answer:

Denominator

Step-by-step explanation:

Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.

I hope this image helps.

what is the answer to this?? lmk asap pls and i need the right answer

Answers

Answer: no, no, no, yes

Step-by-step explanation:

Hello!

Just take each value of "u" and multiply it by 4. If the answer is smaller than 32, it is a solution. If not, it isn't a solution.

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