In a G.P., the third term is 24 and 6th term is 192. Find the 10th term.

Question

KnowledgeBoat · Accepted Answer

Given, a₃ = 24, a₆ = 192. By formula, a_n = ar^{n - 1}. ⇒ a₃ = ar^{(3 - 1)} ⇒ ar² = 24. (Eq 1) ⇒ a₆ = ar^{(6 - 1)} ⇒ ar⁵ = 192. (Eq 2) Dividing Eq 2 by Eq 1 Putting value of r in Eq 1, Hence, the 10th term of the G.P. is 3072.

Mathematics

In a G.P., the third term is 24 and 6th term is 192. Find the 10th term.

AP GP

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