Question

Let me know the answer plz

Answer 1

Answer: Option G

$a_6 = -2048$

Step-by-step 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.

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