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26 July, 01:02

Determine whether each sequence is arithmetic, geometric, or neither. explain. 7,13,19,25, ...

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  1. 26 July, 02:10
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    7, 13, 19, 25, ...

    + 6 + 6 + 6

    a (n) = a₁ + d (n - 1)

    a (n) = 7 + 6 (n - 1)

    a (n) = 7 + 6 (n) - 6 (1)

    a (n) = 7 + 6n - 6

    a (n) = 6n + 7 - 6

    a (n) = 6n + 1

    The sequence is arithmetic because it has a common difference of 4 in order to make sure the the function would be equal to a (n) = 6n + 1.
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