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![[Post New]](/templates/default/images/icon_minipost_new.gif) 2 Mar 2008 19:33:03 IST
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if a,b,c,d are in H.P, prove that ab + bc +cd=3ad
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a , b , c , d are in HP 1/a 1/b 1/c 1/d in AP 1/b - 1/a = 1/c-1/b = 1/d-1/c = k a-b = kab b-c = kbc c-d = kcd a-d = k(ab+bc+cd) 1/d - 1/a = 3k so a-d = 3kad so ab+bc+cd = 3ad
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