Ques) Let a 1 ,a 2 ,a 3 ,..... be in A.P and a p , a q , a r be in G.P. Then show that ap / aq = (q-p) / (r - q).

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Pratham Ashish · Answer

since, a p ,a q & a r are d terms taken from the given A.P. so, a p = aq - (q-p)*d ..............................(1) aq = ar - (r-q)*d..........................(2) now since a p ,a q & a r are in G.P. so a q = R*a p and, a r = R* a q , where R is d common ratio of tge G.P. we put a q = R*a p in (1) we get a p ( R-1) = (q-p)d ............................................(3) we put a r = R* a q in (2) we get a q (R-1) = (r-p) d .............................................(4) dividing (3) by (4) we get a p /a q = (q-p)/ (r-p)

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Ques) Let a 1 ,a 2 ,a 3 ,..... be in A.P and a p , a q , a r be in G.P. Then show that ap / aq = (q-p) / (r - q).

Ques) Let a₁,a₂,a₃,..... be in A.P and a_p, a_q, a_r be in G.P. Then show that ap / aq = (q-p) / (r - q).

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Ques) Let a 1 ,a 2 ,a 3 ,..... be in A.P and a p , a q , a r be in G.P. Then show that ap / aq = (q-p) / (r - q).

Ques) Let a1,a2,a3,..... be in A.P and ap, aq, ar be in G.P. Then show that ap / aq = (q-p) / (r - q).

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Ques) Let a₁,a₂,a₃,..... be in A.P and a_p, a_q, a_r be in G.P. Then show that ap / aq = (q-p) / (r - q).