Question

I need help with this one.

Answer 1

`T_(n)` =
`(1)/(5)`
`T_(n-1)` with T₁ = 5000

Explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r =
`(1000)/(5000)` =
`(200)/(1000)` =
`(40)/(200)` =
`(1)/(5)`

This indicates the sequence is geometric with recursive rule

`T_(n)` = r
`T_(n-1)`

Here tr =
`(1)/(5)` , thus

`T_(n)` =
`(1)/(5)`
`T_(n-1)` , T₁ = 5000