Nth term of GP


 
 
Concept Explanation
 

Nth Term of a GP

If T_1, T_2, T_3, ...,T_n denote consecutive terms of a GP,

then the nth term of the geometric progression is given by

T_n=ar^n^-1

Illustration 1. Find the 8th term of the GP - 3, 6, - 12, 24, - 48, ...

A. 380           B. 381            C. 384          D. 385

Answer: C

Solution:  In the given GP, we have

      a=-3,; r =frac{6}{-3}=;-2

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