Question

Let me know the answer plz

Answer 1

Answer: Option G

`a_6 = -2048`

Explanation:

The geometric series have the following form:

`a_n = a_1 (r) ^ {n-1}`

Where
`a_1` is the first term of the sequence and r is the common radius.

In this case we know that

`a_1 = -2\\\\r = 4`

So:

`a_n = -2(4) ^ {n-1}`

To find the sixth term
`a_6`, substitute
`n = 6` in the equation.

`a_6 = -2 (4) ^ {6-1}\\\\a_6 = -2 (4) ^ 5\\\\a_6 = -2048`