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Find two geometric progressions having: 54 as third term and 27/32 as ninth term.

  • maths -

    T9 is the 6th term after T3, so
    27/32 = 54*r^6
    1/64 = r^6
    r = ± 1/2

    I think you can do the rest.

  • maths -

    Expand (1-x)^4.Hence find S if S = (1-x^3)^4 - (1-x^3)^3 + 6(1-x^3)^2 - 4(1-x^3) + 1.

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