find the recursive formula of the arithmetic sequence 14,30,46,62

Question

find the recursive formula of the arithmetic sequence
14,30,46,62

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Jade 2 weeks 2021-11-23T11:55:43+00:00 1 Answer 0

Answers ( )

    0
    2021-11-23T11:57:12+00:00

    Answer:

    a_n=a_{n-1}+16

    Step-by-step explanation:

    The given arithmetic sequence is

    14,30,46,62

    The first term of this sequence is

    a_1=14

    The common distance is obtained by subtracting a subsequent term from a previous term;

    d=30-14

    The common difference is

    d=16

    The recursive formula is given by:

    a_n=a_{n-1}+d

    We now plug in the known value for the common difference to get;

    a_n=a_{n-1}+16

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