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10 April, 16:09

Witch rule can you use to find the nth term of an arithmetic sequence in witch the common difference is 5 and a12=63

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  1. 10 April, 16:22
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    Any arithmetic sequence can be expressed as:

    a (n) = a+d (n-1), a=initial term, d=common difference, n=term number

    We are only told that d=5 and a (12) = 63 so:

    53=a+5 (12-1)

    53=a+60-5

    53=a+55

    a=-2 now we have solved for a and we can say:

    a (n) = - 2+5 (n-1) which neatened up ...

    a (n) = - 2+5n-5

    a (n) = 5n-7

    The above is the rule to find the value of the nth term.
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