Question

If the first term of G.P. is 7, its n^th term is 448 and sum of first n terms is 889, then find the fifth term of G.P.

Answer 1

Given a = 7 the first term 

t_n = ar^{n – 1} = 7(r)^{n – 1} = 448. 

⇒ 7rⁿ = 448 r

⇒ r = 2 

Hence T₅ = ar⁴ = 7(2)⁴ = 112