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Integers a, b, c, d and e satisfy 50<a<b<c<d<e<500, and a,b,c,d,e form a geometric sequence. What is the sum of all possible distinct values of a?

  • maths -

    500 = 50r^6
    r^6 = 10
    Since r is irrational, and no power of 5 less than 6 is rational, there are no integer values between 50 and 500.

  • maths -

    @Steve: what about this sequence?
    64,96,144,216,324

  • maths -

    the answer is 321

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