Question

The first term of a geometric sequence is 2 and the common ratio is 4. How do you find the 6th term?

Answer 1

`2048`

Explanation:

For a geometric sequence the `color(blue)"nth term formula"` is

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a_n=ar^(n-1))color(white)(a/a)|)))`
where a represents the first term and r, the common ratio.

here a = 2 , r = 4 and n = 6

`rArra_6=2xx(4)^5=2048`