Geometrical progration

the 6 term of a G.P is 2000 its common ratio is 10 find the first term?

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asked by Ashley
  1. a1 = initial value

    r = common ratio = 10


    The n-th term of a geometric sequence:

    an = a1 * r ^ ( n - 1 )


    In this case:

    a6 = a1 * r ^ 5

    2,000 = a1 * 10 ^ 5

    2,000 = 100,000 a1 Divide both sides by 100,000

    2,000 / 100,000 = a1

    0.02 = a1

    a1 = 0.02

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    posted by Bosnian

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