Determine whether the following sequences are arithmetic. If so, identify the common difference. 9, 15, 21, 27, …

Question

Determine whether the following sequences are arithmetic. If so, identify the common
difference.
9, 15, 21, 27, …

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Doris 3 years 2021-08-15T04:53:13+00:00 1 Answers 13 views 0

Answers ( )

  1. Acacia
    0
    2021-08-15T04:54:15+00:00
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    Answer:

    Yes the sequence is arithmetic

    The common difference is 6

    Step-by-step explanation:

    Determine whether the following sequences are arithmetic. If so, identify the common difference.

    9, 15, 21, 27, …

    The sequence given in the above question is arithmetic because it follows the formula

    Un = a + (n -1)d

    Where

    a= First term

    n = Number of terms

    d = Common difference

    The common difference is calculated as the

    Second term – First term

    15 – 9

    = 6

    or the Third term – Second term

    21 – 15

    = 6

    or the Fourth term – Third term

    = 27 – 21

    = 6

    Therefore, the Common difference = 6

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