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3 Jul 2009 21:46:31 IST

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what is the greatest positive term of the H.P. whose first two terms are 2/5 and 12/23?

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what is the greatest positive term of the H.P. whose first two terms are 2/5 and 12/23?

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eragon24

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Joined: 14 May 2009

Posts: 697

3 Jul 2009 22:05:23 IST

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5/2 , 23/12....... are in ap

common diffrence=-7/12

the lesser the term of ap series greater will be its corresponding term in hp

so find that term of ap which is just greater than 0

tn=5/2 -(7/12)(n-1)>0

n<5.2

so we take next integer value of n=5

thus fifth term of ap will be smallest positive term

5/2-(7/12)(4)

1/6

hence corresponding term of hp series is 6.....hece largest term of hp is 6

Krishna Gopal Singh

Forum Expert

Joined: 29 Dec 2006

Posts: 4965

3 Jul 2009 23:26:53 IST

Like 0 people liked this

Right answer devilsvemon. Well done.

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