Find the 8^th term of a G.P., if its common ratio is 2 and 10^th term is 768.

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KnowledgeBoat · Accepted Answer

Given, Common ratio (r) = 2 By formula, ⇒ a_n = ar^{n - 1} Given, 10^th term of G.P. = 768 ⇒ a₁₀ = 768 ⇒ ar^{10 - 1} = 768 ⇒ ar⁹ = 768 ⇒ a × 2⁹ = 768 ⇒ a × 512 = 768 ⇒ a = . 8th term of G.P. is given by : ⇒ a₈ = ar^{8 - 1} ⇒ a₈ = ar⁷ ⇒ a₈ = ⇒ a₈ = 3 × 2⁶ ⇒ a₈ = 3 × 64 = 192. Hence, 8^th term of a G.P. is given by 192.

Mathematics

Find the 8^th term of a G.P., if its common ratio is 2 and 10^th term is 768.

AP GP

Related Questions

The 10^th, 16^th and 22^nd terms of a G.P. are x, y and z respectively. Show that x, y and z are in G.P.

In a G.P., the 4^th term is 48 and 7^th term is 384. Find its 6^th term.

Mathematics

Find the 8th term of a G.P., if its common ratio is 2 and 10th term is 768.

AP GP

Related Questions

The 10th, 16th and 22nd terms of a G.P. are x, y and z respectively. Show that x, y and z are in G.P.

In a G.P., the 4th term is 48 and 7th term is 384. Find its 6th term.

Find the 8^th term of a G.P., if its common ratio is 2 and 10^th term is 768.

The 10^th, 16^th and 22^nd terms of a G.P. are x, y and z respectively. Show that x, y and z are in G.P.

In a G.P., the 4^th term is 48 and 7^th term is 384. Find its 6^th term.