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3 years ago

What is the sum of the geometric series t=1

1 answer:

7 0

In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. ... To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

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1. Add or Subtract. Show your work

Sav [38]

QUESTION 1a.

We want to add

$( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)$

We group similar terms to get

$- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13$

Simplify:

$- 10{x}^{2} - 2x -12$

QUESTION 1b.

The given function is:

$(7x^2+4x-26)-(-7x^2-3x+15)$

Expand the parenthesis to obtain,

$7x^2+4x-26 + 7x^2 + 3x - 15$

Group similar terms,

$7x^2+7 {x}^{2} + 4x + 3x-26 - 15$

Simplify:

$14{x}^{2} + 7x-41$

QUESTION 2

The given function is

$f(n)=n^2-6n-16$

The zeros of this function is given by;

$n^2-6n-16 = 0$

Split the middle term.

$n^2-8n + 2n-16 = 0$

Factor;

$n(n - 8) + 2(n - 8) = 0$

$(n - 8)(n + 2) = 0$

$n - 8 = 0 \: or \: n + 2 = 0$

$n = 8 \: or \: n = - 2$

4 0

3 years ago

Find the perimeter of the following shape:

Andreas93 [3]

Answer:

Step-by-step explanation:

6 0

3 years ago

Need help with my precal please!

Margaret [11]

Answer:

y = 3x - 1

Step-by-step explanation

We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

5 0

3 years ago

The perimeter of a rectangle is 34 units. it's width is 6.5 units. Write an equation to determine the length of the rectangle

gayaneshka [121]

The equation would be 34x2+6.5x2

6 0

3 years ago

A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?

lawyer [7]

Multiply
3x8
=24 Grams

8 0

3 years ago

Read 2 more answers