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# If S is the sum of the 1/n, where n represents an integer

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Senior Manager
Joined: 08 Aug 2005
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If S is the sum of the 1/n, where n represents an integer [#permalink]  23 Nov 2005, 22:18
If S is the sum of the 1/n, where n represents an integer from 101 to 150. What is the range of S?
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Re: Sum of a series [#permalink]  23 Nov 2005, 23:03
if i correctly understand the problem.........
s = 1/101 + .......+ 1/150
lowest s = 50/101 =1/2
highest s = 50/150 = 1/3
so the range = 1/2 to 1/3
Director
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Re: Sum of a series [#permalink]  23 Nov 2005, 23:56
HIMALAYA wrote:
if i correctly understand the problem.........
s = 1/101 + .......+ 1/150
lowest s = 50/101 =1/2
highest s = 50/150 = 1/3
so the range = 1/2 to 1/3

I believe you got it right, HIMALAYA.
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Auge um Auge, Zahn um Zahn !

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Re: Sum of a series [#permalink]  24 Nov 2005, 00:12
getzgetzu wrote:
If S is the sum of the 1/n, where n represents an integer from 101 to 150. What is the range of S?

Can you provide the answer choices? ...coz we can't determine which size of the range is okie ...One was pointed out by Himalaya ...but we don't know if there's smaller/ tinier range...
Senior Manager
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Just don't have the answer choices, a friend of mine asked me to solve this question
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hey ya......

SVP
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nakib77 wrote:

yes, if there's no answer choices...this problem will be very difficult and may involve the tools of upper and lower limits ...and we know, to find limits is not easy at all.
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