supercat2610 supercat2610

02-02-2021
Mathematics

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What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?

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mhanifa mhanifa

02-02-2021

Answer:

430

Step-by-step explanation:

Given GP with:

a1 = 10
r = -2

To find

S7

Solution

Formula of sum:

Sn = a1(r^n - 1)/(r - 1)

Substitute values:

S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430

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