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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: HP
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[Post New]5 Mar 2007 22:35:03 IST
    Subject: HP
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umang (229)

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If a1,a2,.........an are in HP , then find the value of a1a2 + a1a2 + .........an-1an
Umang
    
[Post New]5 Mar 2007 23:22:04 IST
    Subject: HP
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vineetvsb (40)

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sincea1,a2,a3..an are in hp
therefore 1/a1,1/a2......1/anare in ap
hence 1/a1a2,1/a2a3,1/(a3.a4)..... are in arithmetricgoemtric progresion
so i think that a1a2,a2a3,a3a4,..........a(n-1)a(n)are in harmonicgeometric progresion
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[Post New]6 Mar 2007 09:31:28 IST
    Subject: Re:HP
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konichiwa2x (2327)

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The terms of the H.P are given by :
 
Consider any two terms:
. So .
 
Hence your sum will be: 
 
 
edit: replace all the x's with a's.. i didnt notice it previously.
Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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[Post New]8 Mar 2007 15:54:44 IST
    Subject: Re:HP
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umang (229)

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Thanks a lot konichiwa !!!!!
Umang
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