Question

Write an
i explicit formula for an, the nth term of the sequence 200, 40, 8, ....

Answer 1

`T_n = 200 * ((1)/(5))^{n-1`

Explanation:

Given

`Sequence: 200,40,8`

Required

The nth term

The given sequence is a geometric sequence.

So, first we identify the first term

`a = 200`

Calculate common ration

`r = (40)/(200)` or
`r = (8)/(40)`

`r = (1)/(5)`

So, the nth term is:

`T_n = ar^{n-1`

`T_n = 200 * ((1)/(5))^{n-1`