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Evaluate the series 8 + 4 + 2 + . . .

User Insyte
by
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2 Answers

4 votes

Answer:

16

Explanation:

a/(1-r)

Use the infinite geometric series formula.

User Ataur Rahman Munna
by
7.7k points
4 votes

ANSWER


S_(\infty) = 16

EXPLANATION

Given the series:

8 + 4 + 2 + . . .

The first term of the series is


a_1 = 8

The common ratio is


r = (4)/(8) = (1)/(2)

The sum of this series is given by


S_(\infty) = (a_1)/(1 - r)


S_(\infty) = (8)/(1 - (1)/(2) )

Simplify:


S_(\infty) = (8)/((1)/(2) ) = 8 * 2 = 16

User George McKibbin
by
8.5k points

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