anonymous
  • anonymous
Will fan and Medal. Find the 8th term of the geometric sequence. 1, -2, 4, -8,
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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SolomonZelman
  • SolomonZelman
what pattern do you notice here?
anonymous
  • anonymous
It's going back from positive to negative. But the middle numbers its jumping up and down each time.
SolomonZelman
  • SolomonZelman
you are multiplying times -2 each time, right?

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SolomonZelman
  • SolomonZelman
so, starting from the 1st term, you need to multiply times -2 once to get to the second term.
anonymous
  • anonymous
And you'd keep going from there correct?
SolomonZelman
  • SolomonZelman
and starting from 1st term, you need to multiply times -2, 2 times , to find the 3rd term
SolomonZelman
  • SolomonZelman
and starting from the 1st term, you need to multiply times -2, 3 times, to find the 4th term
SolomonZelman
  • SolomonZelman
this way, you need to multiply times -2, 'n-1' number of times, to find the nth term.
SolomonZelman
  • SolomonZelman
and so, you need to multiply times -2, 7 times to find the 8th term
anonymous
  • anonymous
Oh, I see what you are doing there.
SolomonZelman
  • SolomonZelman
\(1\times (-2)^7=a_8\)
SolomonZelman
  • SolomonZelman
see why this is the 8th term?
SolomonZelman
  • SolomonZelman
(and all you need to do is to calculate that) I got to go, apologize, and you welcome.
anonymous
  • anonymous
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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