What is the sum of the first seven terms of the geometric series 2 − 8 + 32 − . . ?
hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio.
s7 = 6,554
s7 = −8,192
s7 = 8,192
s7 = 10,922

Step-by-step explanation:

The given series is

The first term of the sequence is

There is a common ratio of

The sum of the first n terms of a geometric sequence is given by the formula;

We want to find the first seven terms so

We substitute the given values into the formula to obtain;

The correct answer is A

there is no question content here, but you for the free points! : d

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .