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Question: The four<sup>th</sup>, seven<sup>th</sup> and ten<sup>th</sup> terms of a G.P. are p, q and r respec...

The fourth, seventh and tenth terms of a G.P. are p, q and r respectively, then

A

p2 = q2 + r2

B

p2 = qr

C

q2 = pr

D

r2 = p2 + q2

Answer

q2 = pr

Explanation

Solution

T4 = ar3 = p; T7 = ar6 = q ; T10 = ar9 = r

T4.T10 = a2 r12 = (ar6)2 = q2 Ž q2 = pr