Question

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

Answer 1

Answer:

$T_n = 200 * (\frac{1}{5})^{n-1$

Step-by-step 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

$r = \frac{40}{200}$ or $r = \frac{8}{40}$

$r = \frac{1}{5}$

So, the nth term is:

$T_n = ar^{n-1$

$T_n = 200 * (\frac{1}{5})^{n-1$