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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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What is the range of Sn Sn= 1/34+1/35+1/36+1/37......+1/66 [#permalink] New post 08 Jul 2003, 04:28
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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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 [#permalink] 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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 [#permalink] New post 08 Jul 2003, 11:56
Expert's post
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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 [#permalink] 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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AkamaiBrah
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MBA, Anderson School of Management, UCLA, Class of 1993

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 [#permalink] 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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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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 [#permalink] New post 08 Jul 2003, 18:16
Expert's post
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:



:oops:
  [#permalink] 08 Jul 2003, 18:16
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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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