Find the geometric progression whose 4th term is 54 and 7th term is 1458.

Question

KnowledgeBoat · Accepted Answer

Given, a₄ = 54 and a₇ = 1458. We know that in G.P. a_n = ar^{n - 1} ∴ a₄ = ar³ and a₇ = ar⁶. Dividing a₇ by a₄, Putting value of r in ar³ = 54, Terms of G.P. are ⇒ a₂ = ar = 2 × 3 = 6, ⇒ a₃ = ar² = 2 × 3² = 18, ⇒ a₄ = ar³ = 2 × 3³ = 54. Hence, the G.P. is 2, 6, 18, 54, ....

Mathematics

Find the geometric progression whose 4th term is 54 and 7th term is 1458.

AP GP

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