Question

I need help please. Honestly I barely understand this.

Answer 1

4th option

Explanation:

The nth term of a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

To find a₁ use a₁₂ = - 12288 , then

a₁
`(2)^(11)` = - 12288 , that is

a₁ × 2048 = - 12288 ( divide both sides by 2048 )

a₁ = - 6

Then the explicit formula is

`a_(n)` = - 6 .
`2^(n-1)`

Answer 2

`- 12288 / {2}^(11) = - 6 \\ forth \: answer \: is \: correct`