Will fan and Medal. Find the 8th term of the geometric sequence. 1, -2, 4, -8,

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Will fan and Medal. Find the 8th term of the geometric sequence. 1, -2, 4, -8,

Mathematics
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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?

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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.
Yes, I understand now. I was confused but I think you gave me a very easy way how to solve it. Thank you!

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