What is the recursive rule for the following arithmetic sequence? -7, -4, -1, 2, 5, …

Question

What is the recursive rule for the following arithmetic sequence?

-7, -4, -1, 2, 5, …

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Kim Chi 4 years 2021-08-23T03:39:52+00:00 1 Answers 6 views 0

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  1. thuthuy
    0
    2021-08-23T03:41:27+00:00
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    Answer:

    Recursive rule for arithmetic sequence = an = a[n-1] + 3

    Step-by-step explanation:

    Given arithmetic sequence;

    -7, -4, -1, 2, 5, …

    Find:

    Recursive rule for arithmetic sequence;

    Computation:

    Let a1 = -7

    So,

    ⇒ a2 = a1 + 3 = -4

    ⇒ a3 = a2 + 3 = -1

    ⇒ a4 = a3 + 3 = 2

    ⇒ a5 = a4 + 3 = 5

    So, the recursive formula is

    ⇒ an = a[n-1] + 3

    Recursive rule for arithmetic sequence = an = a[n-1] + 3

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