Math

The fifth term of an arithmetic progression is 19 and the fourteenth term is 15. Find the, first term, common difference, and sum of the first eighty terms.

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  1. remember that t(n) = a+(n-1)d

    t(8) = a+7d
    t(4) = a+3d
    it said: the 8th term is twice the 4th term ---> a+7d = 2(a+3d), simplify this

    then it said: the 20th term is 40 ---> a+19d = 40

    Solve these two equations.

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