Question

The third term of a G P is 18 and its seventh term is
32/9. Find the tenth term of the GP​

Answer 1

Step-by-step explanation:

let's 1st term be 'a'.

so ,ar^=18.......(1)...(given)

also ar^6=32/9...(2)...(given)

dividing (2)by (1 ),we get,

ar^6/ar^2=32/162

r^4=16/81.

r=2/3.

putting r in equal number.(1)

a=81/2.

so , 10th term =ar^9

=(81/2)× (512/19683)

=256/243