The 5 th and the 8 th terms of a G.P. are 32 and 256 respectively. Find its first term and the common ratio.

Let first term of G.P. be a and common ratio be r. By formula, ⇒ a n = ar n - 1 Given, 5 th term of G.P. = 32 ⇒ a 5 = 32 ⇒ ar 5 - 1 = 32 ⇒ ar 4 = 32 ..........(1) Given, 8 th term of G.P. = 256 ⇒ a 8 = 256 ⇒ ar 8 - 1 = 256 ⇒ ar 7 = 256 ..........(2) Dividing equation (2) by (1), we get : Substituting value of r in equation (1), we get : ⇒ a × (2) 4 = 32 ⇒ 16a = 32 ⇒ a = = 2. Hence, first term = 2 and common ratio = 2.

x, 2x + 2, 3x + 3, G are four consecutive terms of a G.P. Find the value of G.

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The third term of a G.P. is greater than its first term by 9 whereas its second term is greater than the fourth term by 18. Find the G.P.

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Mathematics

The 5^th and the 8^th terms of a G.P. are 32 and 256 respectively. Find its first term and the common ratio.

AP GP

Related Questions

x, 2x + 2, 3x + 3, G are four consecutive terms of a G.P. Find the value of G.

The third term of a G.P. is greater than its first term by 9 whereas its second term is greater than the fourth term by 18. Find the G.P.

Mathematics

The 5th and the 8th terms of a G.P. are 32 and 256 respectively. Find its first term and the common ratio.

AP GP

Related Questions

x, 2x + 2, 3x + 3, G are four consecutive terms of a G.P. Find the value of G.

The third term of a G.P. is greater than its first term by 9 whereas its second term is greater than the fourth term by 18. Find the G.P.

The 5^th and the 8^th terms of a G.P. are 32 and 256 respectively. Find its first term and the common ratio.