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26 June, 21:22

Find the 17th term of the arithmetic sequence.

-6, 3, 12, 21, ...

The 17th term is

+1
Answers (2)
  1. 26 June, 21:35
    0
    First find the common difference.

    This can be found by subtracting the second term minus the

    first term which in this case us 3 - (-6) or 3 + (+6) which is 9.

    So we add 9 to reach the next term in this sequence.

    Since this sequence isn't too long, continuing adding 9

    until you reach the 17th term in this arithmetic sequence.

    -6 ⇒ 1st term

    3 ⇒ 2nd term

    12 ⇒ 3rd term

    21 ⇒ 4th term

    30 ⇒ 5th term

    39 ⇒ 6th term

    48 ⇒ 7th term

    57 ⇒ 8th term

    66 ⇒ 9th term

    75 ⇒ 10th term

    84 ⇒ 11th term

    93 ⇒ 12th term

    102 ⇒ 13th term

    111 ⇒ 14th term

    120 ⇒ 15th term

    129 ⇒ 16th term

    138 ⇒ 17th term

    By manually doing this, we found that our 17th term is 138.
  2. 26 June, 22:06
    0
    nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.

    Step-by-step explanation:

    9*17 + (-6 - 9) = 138
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