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1+1/2+1/4+1/8+1/16+1/32+1/64 if you continue adding on fractions according to this pattern, when will you reach a sum of 2?

1+1/2+1/4+1/8+1/16+1/32+1/64 if you continue adding on fractions according to this pattern, when will you reach a sum of 2?
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1+1/2+1/4+1/8+1/16+1/32+1/64

if you continue adding on fractions according to this pattern, when will you reach a sum of 2?

User Hocker
by
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2 Answers

3 votes
This is a geometric series with first term 1 and common ratio 1/2

Sum to infinity = a1 / (1 - r) = 1 / 1/2 = 2

The answer is it will approach very close to 2 after adding an infinite number of terms.
User ItsMeInMiami
by
7.3k points
3 votes
I’m at 1/524288 right now
User Vinoth
by
7.5k points
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