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4 December, 01:57

A recursive rule for an arithmetic sequence is a1=-3; an=an-1+7. What is an explicit rule for this sequence? Enter your answer in the box

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  1. 4 December, 04:15
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    An=a1+d (n-1)

    a1=firs term

    d=common difference

    so

    a1=-3

    an=-3+d (n-1)

    notice

    an=a (n-1) + 7

    a2=a1+7

    so therfor the common differece is 7

    an=-3+7 (n-1)

    an=-3+7n-7

    an=-10+7n
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