Algebra 2

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The simple formula for the nth term of an arithmetic sequence is an = 4n + 16. What is the explicit formula corresponding to the simple formula?

  • Algebra 2 -

    1 th term

    a1 = 4 * 1 + 16 = 4 + 16 = 20


    2 th term

    a2 = 4 * 2 + 16 = 8 + 16 = 24


    3 th term

    a3 = 4 * 3 + 16 = 12 + 16 = 28


    4 th term

    a4 = 4 * 4 + 16 = 16 + 16 = 32

    etc.

    Arithmetic sequence with first term
    a1 = 20

    and common difference d = 4


    General formula for arithmetic sequence :

    an = a1 + ( n - 1 ) * d

    In this case :

    an = 20 + ( n - 1 ) * 4

  • Algebra 2 -

    Write the explicit formula for the geometric sequence.

    a1 = -5 a2 = 20 a3 = -80

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