Question

The 7th term of series6,12,24.........is

Answer 1

Hello !!

This is a geometric sequence and you need find the 7th term. See the resolution below.

Find the common ratio.

r^(n - k) = (An/Ak)

r^(2 - 1) = (12/6)

r^(1) = 2

r = 2

Now, you find the 7th term.

An = Ak × r^(n - k)

A7 = 6 × 2^(7 - 1)

A7 = 6 × 2^(6)

A7 = 6 × 64

A7 = 384

Final result : 384 is the 7th term.

I hope I have collaborated !