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20 June, 11:48

How do I find the first four terms for an arithmetic sequence

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  1. 20 June, 12:37
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    The two formulas you need to know:

    Find any term in an arithmetic sequence: An = A1 + (n-1) d

    where A1 = is the first term, n is the number in the sequence, and d is the common difference.

    Find the sum of an arithmetic sequence: Sn = 0.5n (A1+An).

    To solve d, we need to know n for the An=67. To do this we can use the sum equation:

    Sn = 0.5n (A1+An)

    680 = 0.5n (10+67)

    n = (2*680) / (10+67) = 17.66
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