The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.
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The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

KnowledgeBoat · Accepted Answer

Let first term of the G.P. be a and it's common ratio be r. Given, ⇒ a₃.a₈ = 243 ⇒ ar².ar⁷ = 243 ⇒ a²r⁹ = 243 ..........(i) Also, ⇒ a₄ = 3 ⇒ ar³ = 3 ⇒ a = ........(ii) Substituting value of a from (ii) in (i) we get, Substituting value of r in (ii), a₇ = ar⁶ = = = 81. Hence, 7^th term = 81.

Mathematics

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

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Mathematics

The product of 3rd term and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.

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