How to find the sum of the infinite geometric sequence:

Question

8  +  4  +  2 ...

Answer 1

Given the sequence: 8, 4, 2, ...

Find sum of the infinite series.

SOLUTION:

The given sequence is a geometric sequence

with r = 4/8 = 1/2

If abs(r) < 1

it is possible to calculate the sum of the infinite series.

Since r = 1/2 < 1

it is possible to calculate the sum o the infinite series

using this equation:

SUM = (a1) / (1 - r)

SUM = (8) / (1 - 1/2)

SUM = (8) / (1/2)

SUM = 8 * 2

SUM = 16

Answer 2

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