Question

I need help with this one.

Answer 1

Answer:

$T_{n}$ = $\frac{1}{5}$ $T_{n-1}$ with T₁ = 5000

Step-by-step explanation:

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

r = $\frac{1000}{5000}$ = $\frac{200}{1000}$ = $\frac{40}{200}$ = $\frac{1}{5}$

This indicates the sequence is geometric with recursive rule

$T_{n}$ = r $T_{n-1}$

Here tr = $\frac{1}{5}$ , thus

$T_{n}$ = $\frac{1}{5}$ $T_{n-1}$ , T₁ = 5000