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21 February, 08:56

Write an

explicit formula for An, the nth

term of the sequence 22, 17, 12, ...

+4
Answers (2)
  1. 21 February, 09:15
    0
    -5n + 27

    Step-by-step explanation:

    The difference is - 5.

    The first term is 22.

    Use the formula for nth term.

    an = dn + (a - d)

    a is the first term.

    d is the difference.

    an = - 5n + (22 - ( - 5))

    an = - 5n + (22 + 5)

    an = - 5n + 27
  2. 21 February, 09:23
    0
    27 - 5n.

    Step-by-step explanation:

    This is arithmetic with common difference = 17 - 22 = - 5 (also 12 - 17 = - 1).

    nth term an = a1 + d (n - 1)

    = 22 - 5 (n - 1)

    Which simplifies to 27 - 5n
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