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Intern
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What is the range of Sn Sn= 1/34+1/35+1/36+1/37......+1/66 [#permalink]
 08 Jul 2003, 05:28
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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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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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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GMAT Instructor
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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
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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GMAT Instructor
Joined: 07 Jul 2003
Posts: 773
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 5
Kudos [?]:
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Sn = 1/34 + 1/35 + .... + 1/66 =
810596235079202952514867757 / 1182266884102822267511361600
= ~.6856
There is no easy formula for this.
_________________
Best,
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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Founder
Status: On Vacation :-)
Affiliations: UA-1K, SPG-G, HH-D
Joined: 04 Dec 2002
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Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 1355
Kudos [?]:
4173
[0], given: 3117
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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 
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