What is the range of Sn Sn= 1/34+1/35+1/36+1/37......+1/66 : Quant Question Archive [LOCKED]
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What is the range of Sn Sn= 1/34+1/35+1/36+1/37......+1/66

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New post 08 Jul 2003, 04:28
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the range of Sn
Sn= 1/34+1/35+1/36+1/37......+1/66

Any tips how to solve this type.
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New post 08 Jul 2003, 04:52
The range is the difference between the largest and the smallest members of the row.

1/34-1/66=8/561

Far more interesting to find the sum of the row!
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New post 08 Jul 2003, 11:56
stolyar wrote:
The range is the difference between the largest and the smallest members of the row.

1/34-1/66=8/561

Far more interesting to find the sum of the row!




I guess the sum is 33/(product of numbers from 34 to 66)


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New post 08 Jul 2003, 17:07
No. 33/(66!/33!) is a VERY small number. Since you are adding together a bunch of positive numbers, then answer must be at least as least as the smallest one.
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New post 08 Jul 2003, 17:13
Sn = 1/34 + 1/35 + .... + 1/66 =

810596235079202952514867757 / 1182266884102822267511361600

= ~.6856

There is no easy formula for this.
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New post 08 Jul 2003, 18:16
AkamaiBrah wrote:
Sn = 1/34 + 1/35 + .... + 1/66 =

810596235079202952514867757 / 1182266884102822267511361600

= ~.6856

There is no easy formula for this.



You're right!

I forgot how to add fractions :lol:



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  [#permalink] 08 Jul 2003, 18:16
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