smward1001 smward1001

01-08-2019
Mathematics

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Find S7 for the geometric series 2 + -6 + 18 + -54 +…

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sqdancefan sqdancefan

02-08-2019

Answer:

1094

Step-by-step explanation:

The sum of terms of a geometric series is given by ...

Sn = a1·(r^n -1)/(r -1)

You want the sum for ...

a1 = 2, r = -3, n = 7

Filling in the numbers, we get ...

S7 = 2·((-3)^7 -1)/(-3-1) = 2(-2188)/(-4)

S7 = 1094

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