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How do I solve this 1/2+(1/2+1/4)+(1/2+1/8)+(1/2+1/16)+(1/2+1/32)+…?

 Dec 14, 2019
 #1
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There are a total of 5 (1/2)'s. 5 * 1/2 = 5/2

 

1/4 + 1/8 + 1/16 + 1/32 = 8/32 + 4/32 + 2/32 + 1/32 = 15/32

 

5/2 = 80/32. 80/32 + 15/32 = 95/32

 

I hope this helped, 

 

Gavin. 

 Dec 14, 2019
 #2
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The pattern keeps on going, so that answer is wrong

Guest Dec 14, 2019
 #4
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could have said that in a nicer way.

Guest Dec 14, 2019
 #3
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Well, you have 1/2 being added to smaller and smaller fractions, which means that it diverges to infinity. Or 1/2 x infinity =infinity !!.

 Dec 14, 2019

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