Math, asked by 1giffenkat, 10 months ago

determine the sum of the geometric series 7-14+28-...-3584

Answers

Answered by k047

Here your ans

S = 7 + 14 + 28 + ... + 3584

2 S = 2 (7 + 14 + 28 + ...1792 + 3584) =

2*7 + 2*14 + +...+ 2* 1792 + 2*3584 =

14 + 28 + ...+ 3584 + 7168 =

S - 7 + 7168 = S + 7161

2S = S + 7161 --------->

S = 7161

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Answered by talasilavijaya

Answer:

The sum of the terms in the given geometric series is -2387.

Step-by-step explanation:

Geometric series:

A geometric series is the series of terms in which the ratio between each pair of successive terms is constant.
The series is given by

$a + ar + ar^2 + ar^3+...$