Question

find the number of terms in the G.P 6, 12,24..........,1536

Answer 1

your answer

explaination :-

given to us :-

> first term = 6

> common ratio =2 [ 12/6 , 24/12]

> last term =1536

formula :-

> last term = a×r^n-1

> 1536= 6×2^( n-1)

> 1536/6 =2^(n-1)

> 256=2^(n-1)

now 256 can be written as 2^8

> 2^8= 2^n-1

[ 2 gets cancelled from both the sides]

> 8=n-1

> 9=n

hope helps

@AnanyaR☺