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what pattern do you notice here?

It's going back from positive to negative. But the middle numbers its jumping up and down each time.

you are multiplying times -2 each time, right?

so, starting from the 1st term, you need to multiply times -2 once to get to the second term.

And you'd keep going from there correct?

and starting from 1st term, you need to multiply times -2, 2 times , to find the 3rd term

and starting from the 1st term, you need to multiply times -2, 3 times, to find the 4th term

this way, you need to multiply times -2, 'n-1' number of times, to find the nth term.

and so, you need to multiply times -2, 7 times to find the 8th term

Oh, I see what you are doing there.

\(1\times (-2)^7=a_8\)

see why this is the 8th term?

(and all you need to do is to calculate that)
I got to go, apologize, and you welcome.