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11 October, 16:08

Find the next term in the sequence

simplify complete

3 1/4, 3 3/8, 3 1/2, 3 5/8, [?] [?]/[?]

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  1. 11 October, 16:55
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    This is an arithmetic sequence because each term is 1/8 more than the previous term. This is called the common difference and it is what defines an arithmetic sequence.

    a (n) = a+d (n-1), where a is 1st term, d is common difference, and n it term #

    In this case:

    a (n) = 3.25+0.125 (n-1) or more neatly ...

    a (n) = 3.125+0.125n

    a (5) = 3.75
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