Respuesta :

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]

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