Calculate a7, for the geometric sequence with a1 = 4 and common ratio r=-2.

SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
Recall the nth term of a geometric sequence is given as:
[tex]\begin{gathered} T_{n\text{ }}=ar^{n-1} \\ \text{where a = first term = 4} \\ r=\text{ common ratio = -2} \\ \\ _{} \end{gathered}[/tex]Then, we are to find the 7th term,
[tex]\begin{gathered} T_7=(4)(-2)^{7-1} \\ T_7=4(-2)^6 \\ T_7=\text{ 4 x 64} \\ T_7=\text{ 256 - }OPTION\text{ D} \end{gathered}[/tex]