Find the 10 th and nth term of GP. : 5, 25, 125, …….

Question

Philoid · Accepted Answer

First term (a) = 5

Common ratio (r) = =

n^th term in the GP (a_n) = ar^n-1

a_n = 5(5^n-1 = 5ⁿ

10^th term in the GP (a₁₀) = ar^10-1

a₁₀ = 5×5⁹ = 5¹⁰

Find the 10thand nth term of GP. : 5, 25, 125, …….