If the fourth, seventh and tenth terms of a G.P. are x, y, z respectively, prove that x, y, z are in G.P.
AP GP
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Question

If the fourth, seventh and tenth terms of a G.P. are x, y, z respectively, prove that x, y, z are in G.P.

KnowledgeBoat · Accepted Answer

Given, a₄ = x, a₇ = y and a₁₀ = z. By formula, a_n = ar^{n - 1}. ⇒ x = a₄ = a(r)³ ⇒ y = a₇ = a(r)⁶ ⇒ z = a₁₀ = a(r)⁹ From above equations, The above equations prove that the common ratio between x, y and z is r³. Hence, x, y and z are in G.P. with common ratio = r³.

Mathematics

If the fourth, seventh and tenth terms of a G.P. are x, y, z respectively, prove that x, y, z are in G.P.

AP GP

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Mathematics

If the fourth, seventh and tenth terms of a G.P. are x, y, z respectively, prove that x, y, z are in G.P.

AP GP

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