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write the first five terms of a geometric sequence whose first term is 100 and whose third term is less than 30

  • math -

    100r^2 < 30
    r < √0.3 = 0.547722

    so, one sequence would have r=.5:
    100 50 25 12.5 6.25 ...

    If r=.5477, we have
    100 54.77 29.997 16.429 8.999 ...
    The 3rd term is just less than 30.

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