Question

How do I figure this out ?

Answer 1

First you haft to solve the top problem then round

Answer 2

0.0082

Explanation:

The n th term of a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = -
`(1)/(3)` , thus

`a_(6)` = - 2
`(-(1)/(3)) ^(5)` = - 2 × -
`(1)/(243)` =
`(2)/(243)` ≈ 0.0082 ( nearest ten- thousandth )