Determine the 12th term of a G.P. whose 8th term is 192 and common ratio is 2.

Question

KnowledgeBoat · Accepted Answer

Given, a₈ = 192 and r = 2. By formula, a_n = ar^{n - 1}. ⇒ a₈ = a(2)^{(8 - 1)} ⇒ 192 = a(2)⁷ ⇒ a = 12th term of the G.P. is a₁₂, Hence, the 12th term of the G.P. is 3072.

Mathematics

Determine the 12th term of a G.P. whose 8th term is 192 and common ratio is 2.

AP GP

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