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March 25, 2017

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Determine the 10th and 21st terms of the arithmetic sequence- 4+7x, 5+9x, 6+11x

  • arithmetic - ,

    5+9x - (4+7x) = 1+2x

    a = 4+7x
    d = 1+2x

    T10 = a+9d = 4+7x + 9(1+2x) = 13+25x
    T21 = a+20d = 4+7x + 20(1+2x) = 24+47x

  • arithmetic - ,

    T10 = 4 + 7x +(10-1)1+2x
    = 4 + 7x +9(1+2x)
    = 4 + 7x +9+18x
    = 13+25x
    T21 = 4+7x +(21-1)1+2x
    = 4+7x +20(1+2x)
    = 4+7x +20+40x
    = 24+47x

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