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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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Intern
Joined: 23 Dec 2002
Posts: 1
Followers: 6

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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, 04:28
What is the range of Sn
Sn= 1/34+1/35+1/36+1/37......+1/66

Any tips how to solve this type.
SVP
Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

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!
Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12743
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 2635

Kudos [?]: 12511 [0], given: 3832

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)

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 52 [0], given: 0

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.
_________________

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

GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 52 [0], given: 0

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

Founder
Affiliations: AS - Gold, UA - Silver, HH-Diamond
Joined: 04 Dec 2002
Posts: 12743
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 2635

Kudos [?]: 12511 [0], given: 3832

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

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