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anonymous

  • one year ago

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

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  1. SolomonZelman
    • one year ago
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    what pattern do you notice here?

  2. anonymous
    • one year ago
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    It's going back from positive to negative. But the middle numbers its jumping up and down each time.

  3. SolomonZelman
    • one year ago
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    you are multiplying times -2 each time, right?

  4. SolomonZelman
    • one year ago
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    so, starting from the 1st term, you need to multiply times -2 once to get to the second term.

  5. anonymous
    • one year ago
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    And you'd keep going from there correct?

  6. SolomonZelman
    • one year ago
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    and starting from 1st term, you need to multiply times -2, 2 times , to find the 3rd term

  7. SolomonZelman
    • one year ago
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    and starting from the 1st term, you need to multiply times -2, 3 times, to find the 4th term

  8. SolomonZelman
    • one year ago
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    this way, you need to multiply times -2, 'n-1' number of times, to find the nth term.

  9. SolomonZelman
    • one year ago
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    and so, you need to multiply times -2, 7 times to find the 8th term

  10. anonymous
    • one year ago
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    Oh, I see what you are doing there.

  11. SolomonZelman
    • one year ago
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    \(1\times (-2)^7=a_8\)

  12. SolomonZelman
    • one year ago
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    see why this is the 8th term?

  13. SolomonZelman
    • one year ago
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    (and all you need to do is to calculate that) I got to go, apologize, and you welcome.

  14. anonymous
    • one year ago
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    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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