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

The fourth, seventh and tenth terms of a GP. are p, q, r respectively, then: Correct Answer q<sup>2</sup> = pr

Let a be the first term and r be common ratio.

i.e. given conditions

Fourth term of GP: p = T4 = ar3        ...(i)

Seventh term of GP: q = T7 = ar6      ...(ii)

Tenth term of GP.: r = T10 = ar9       ...(iii)

Multiplying Equation (i) and Equation (iii):

pr = ar3 × ar9 ⇒ pr = a2r12 ⇒ pr = (ar6)2

⇒ pr = (q)2

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