Question

Find the 8th term for the geometric series: 2, 8, 32, 128, a) 8192 b) 16384 c) 32768

Answer 1

32768

Explanation:

We know

The geometric series: 2, 8, 32, 128,...

Find the 8th term.

We see

2 → 8 we multiply by 4

8 → 32 we multiply by 4

32 → 128 we multiply by 4

To get from the 4th term to the 8th term we have to multiply by 4 for four times.

128 ×
`4^(4)` = 32768

So, the 8th term is 32768.