I hope first term is 1.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
The formula for general term of a geometric sequence is,
[tex] a_{n} =a_{1} *r^{n-1} [/tex]
Where, first term: a_{1} =1 and common ratio: r = -4.
So, first step is to plug in the values of a1 and r in the above formula to get the rule of this geometric sequence. Hence,
[tex] a_{n} =1 *4^{n-1} [/tex]
[tex] a_{n} =4^{n-1} [/tex]
So, the rule of the geometric sequence is [tex] a_{n} =4^{n-1} [/tex].
To find the seventh term, plug in n = 7 in the above rule. Therefore,
[tex] a_{7} =4^{7-1} [/tex]
= [tex] 4^6 [/tex]
= 4096
Hope this helps you!.
