Question

Find the 7th term of the geometric progression which begins 2 , -6 , 18

Answer 1

ANSWER :–

7th term of G.P. = 1,458

EXPLANATION :–

GIVEN :–

A Geometrical progression 2 , -6 , 18.....

TO FIND :–

7th term of the geometric progression.

SOLUTION :–

● According to the question –

=> A Geometrical progression 2 , -6 , 18.....

• First term of G.P. = 2

• Common ratio = (-6)/2 = -3

● (n+1)th term of G.P. = arⁿ

• Now put n = 6 –

• 7th term of G.P. = ar⁶

=> 7th term = (2)(-3)⁶

=> 7th term = (2)(729)

=> 7th term = 1,458