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arithmetic

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In an arithmetic series, the terms of the series are equally spread out. For example, in
1 + 5 + 9 + 13 + 17, consecutive terms are 4 apart. If the first term in an arithmetic series is
3, the last term is 136, and the sum is 1,390, what are the first 3 terms?

  • arithmetic -

    have you learned this property ?

    S(n) = (n/2)(first + last) ?
    1390 = (n/2)(3 + 136)
    I get n = 20

    so term(20) = a+19d = 136
    19d = 133
    d = 7

    term 1 = 3
    term 2 = 10
    term 3 = 17

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