What is the recursive rule for the sequence? −7.4, −21.2, −35, −48.8, −62.6

Question

What is the recursive rule for the sequence? −7.4, −21.2, −35, −48.8, −62.6

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    0
    2021-09-10T21:15:45+00:00

    subtract 13.8 from the previous number to get the next one.
    if previous number is a(n-1) next number is a(n)
    a(n) = a(n-1) – 13.8

    0
    2021-09-10T21:16:13+00:00

    Answer:

    a_n = a_{n-1}-13.8

    Step-by-step explanation:

    The recursive rule for the arithmetic sequence is given by:

    a_n = a_{n-1}+d          …..[1]

    where, d is the common difference of two consecutive terms.

    Given the sequence:

    −7.4, −21.2, −35, −48.8, −62.6

    This is an arithmetic sequence

    Here, first term(a_1) = -7.4 and d = -13.8

    Since,

    -21.2+7.4 = -13.8,

    -35+21.2 = -13.8 ans so on…

    Substitute the given value in [1] we have;

    a_n = a_{n-1}+(-13.8)

    a_n = a_{n-1}-13.8

    Therefore, the recursive rule for the sequence is, a_n = a_{n-1}-13.8 and a_1= -7.4

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