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What is the sum of the geometric sequence −1, 6, −36, ... if there are 6 terms? (1 point) −39,991 6,665 −6,665 39,991

2 Answers

2 votes

Answer:

6,665

Explanation:

1 vote

Answer:

=6665

Explanation:

The sum of a geometric series is given by:

Sn=a(1-rⁿ)/(1-r)

Sn is the sum of the first n terms, r is the rate and n is the number of terms.

r the quotient between any two consecutive numbers.

r=6/-1= -6

Sn=-1(1-(-6)⁶)/(1--6)

=46655/7

=6665

Sum of the first six terms=6665

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