What's the sum?

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What is your opinion about the sum of the following numbers?

2 + 1 + 1/2 + 1/4 + ..........

The sum increases without limit The sum decreases without limit None of the above The sum approaches a limit

Anish Mukherjee by Anish Mukherjee , 21, India

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2 solutions

Mehul Chaturvedi
Oct 19, 2014

Yes jus create 2 eqns and multiply by 1/2 and sub.

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Anish Mukherjee
Oct 18, 2014

This is a simple sum on geometric progression

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s = 1 + 1/2 + 1/4 + 1/8 + · ·
multiply it by 1/2, then we get (1/2) s = 1/2 + 1/4 + 1/8 + 1/16 + · · · subtract second equ. from 1st equ.

s- (1/2)s = 1 s/2 = 1 s=2

khushal kheni - 6 years, 7 months ago

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Nice solution

Sonal Singh - 4 years, 11 months ago

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