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22 February, 19:12

In an arithmetic sequence, the 6th term is 9 and the 8th term is 15

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  1. 22 February, 19:46
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    Hopefully the math terms won't confuse anyone.

    So in the series, a_6 = 9 and a_8 = 15. Since it's an arithmetic sequence, all the terms in the series can be represented as:

    a_n = a_0 + n * k

    where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.

    a_6 = a_0 + 6 * k

    a_8 = a_0 + 8 * k

    solving this system gives you that

    k = 3 and a_0 = - 9

    for any term n for this arithmetic sequence,

    a_n = - 9 + 3 * k
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