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6-9.

Find the missing term in each sequence. Homework Help ✎

  1. n

    t(n)

    1

    1

    5

    –7

    10

    –17

    23

 Hint: This is an arithmetic sequence.

  • Notice that the table skips many of the terms. An equation of the form t(n) = mn + t(0) needs to be written.

  • Think of the sequence as a function with the points (1, 1) and (5, −7). Use these points to find m.

  • Use m to calculate t(0).

  • Write your equation.

  • Let n = 23 in your equation to find t(23).

  1. n

    t(n)

    1

    10

    2

    18

    3

    32.4

    4

  • Is this sequence arithmetic or geometric?
    Use the pattern in the table to find the 4th term.