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Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
16 May 2012, 08:42

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gmihir wrote:

If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1 B. 0.2 C. 0.3 D. 0.4 E. 0.5

Sorry, don't have an official answer.

We need to find the approximate value of 1/45+1/46+1/47+1/48+1/49+1/50+1/51+1/52+1/53+1/54. Now, the sum of these 10 terms will be very close to 10 times 1/50, which is 0.02*10=0.2.

Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
05 Nov 2012, 14:18

I got 0.2 too (B). Please help. Here is my approach (1/45) + (1/46) + .....+(1/54) = (45-44)/45 +(46-45)/46 +.....+(54-53)/54 = 10 -(44/45 + 45/46 + ...53/54). Each term in the bracket is > 0.977, and there are ten of them. Then their sum is roughly 9.8 10-9.8 = 0.2. But is this doable in 2 mn under stress and heat? Brother Karamazov

Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
12 Aug 2014, 14:28

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