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

Let first term of G.P. be a and common ratio be r. By formula, ⇒ a n = ar n - 1 Given, 4 th term of G.P. = 48 ⇒ a 4 = 48 ⇒ ar 4 - 1 = 48 ⇒ ar 3 = 48 ..........(1) Given, 7 th term of G.P. = 384 ⇒ a 7 = 48 ⇒ ar 7 - 1 = 384 ⇒ ar 6 = 384 ..........(2) Dividing equation (2) by (1), we get : Substituting value of r in equation (1), we get : ⇒ a(2) 3 = 48 ⇒ a × 8 = 48 ⇒ a = = 6. ⇒ a 6 = ar 6 - 1 ⇒ a 6 = ar 5 ⇒ a 6 = 6 × 2 5 ⇒ a 6 = 6 × 32 ⇒ a 6 = 192. Hence, 6 th term of G.P. = 192.

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.

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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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Mathematics

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

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.

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

Mathematics

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

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.

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

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

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.

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