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12 June, 21:30

Write the explicit rule for the arithmetic sequence

a1=27 and an = (an-1) + 4

?

This is the recursive rule.

an=4n+27

an=4n+23

an=23n+4

an=27n+4

+1
Answers (1)
  1. 13 June, 00:13
    0
    Given that:

    a1=27, an = (an-1) + 4

    the second term will be:

    a2=a1+4

    a2=27+4=31

    The explicit formula for arithmetic sequence is given by:

    an=a + (n-1) d

    where:

    a = first term

    d=common difference

    n=nth term

    from the information given:

    a=27

    d=31-27=4

    thus the explicit formula will be:

    an=27 + (n-1) 4

    an=27+4n-4

    an=23+4n

    Answer: an=23+4n
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