What is the sum of a 7-term geometric series if the first term is 6, the last term is 24,576, and the common ratio is - 4?

Question

Mathematics

Elian Schroeder

14 March, 18:34

What is the sum of a 7-term geometric series if the first term is 6, the last term is 24,576, and the common ratio is - 4?

+4

Answers (1)

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Soren Smith · Answer 1

The shortest way is to use the sum formula for GP

S = a (1-rⁿ) / (1-r)

a=6

r = (-4)

n=7 (seventh term) = = = > S=6 (1 - ( - 4) ⁷) / [1 - - 4) ] = 19,662