Find the number of terms in the G.P 6,12, 24 ... 1536.
9
Let 1536 be the nth term
Then, a=6,ar=12,ar2=24,arn−1=1536.
⇒r=ara=126=2
arn−1=1536
⇒6×(2)n−1=1536
⇒(2)n−1=256
⇒2n−1=28
⇒n−1=8
⇒n=9
So, the total number of terms in the given G.P is 9.