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