Question

3 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Answer 1

Option C

Explanation:

The sum of finite geometric sequence states the following:

`s_(n) =`Σ
`a_(i) r^(i-1) = a_(1)((1-r^(n) )/(1-r) )`

In this case,
`r = (900)/(1500) = (9)/(15) = (3)/(5)`, and
`i = 10`

Therefore,

`1500( 1 + (3)/(5) + ((3)/(5))^(3) + ((3)/(5))^(4) + ((3)/(5))^(5) + ((3)/(5))^(6) + ((3)/(5))^(7) + ((3)/(5))^(8) + ((3)/(5))^(9)) = 1500( 2,4848) = 3.727, 3251` ≈
`3.727`

Therefore, the correct answer is the option C