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What is the sum of the first 7 terms of the series −3+6−12+24−... ?

1 Answer

3 votes

Answer

129


Step-by-step explanation

−3+6−12+24−...

The series is a geometric progression.

The first term (a) = -3

Common ration (r) = 6/-3

= -2

The formula for getting the sum of a geometric progression is

Sum = a(rⁿ - 1)/(r - 1)

= -3(-2⁷ - 1)/(-2 - 1)

= -3(-128-1)/-3

= (-3 × -129)/-3

= -129

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