Maths

posted by Ande

The 5th,9th and 16th terms of a linear sequence A.P are consecutive terms of an exponential sequence.Find the common difference of the linear sequence in terms of the first term.

  1. Steve

    since the GP has a common ratio,
    (a+8d)/(a+4d) = (a+15d)/(a+8d)
    (a+8d)^2 = (a+15d)(a+4d)
    a^2+16ad+64d^2 = a^2+19ad+60d^2
    3ad=4d^2
    3a = 4d

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