Question

nth term of -2,6,-18,54 is

Answer 1

Answer:

-2(-3)^(n-1)

Step-by-step explanation:

We can observe that there is a common ratio between the terms of given sequence, hence it is a Geometric Progression(GP).

Finding common ratio,

6/(-2) = -3

-18/6 = -3

54/-18 = -3

Hence, common ratio is -3

First term = -2

General term of a GP = ar^(n-1)

where

a = first term

r = common term

n = order of term

Putting values,

-2(-3)^(n-1)