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9 November, 09:51

What is the sum of the arithmetic sequence 3, 9, 15 ..., if there are 22 terms?

1,452

1,728

2.028

2,268

+1
Answers (1)
  1. 9 November, 10:20
    0
    The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through the equation,

    Sn = (n / 2) x (2a1 + (n - 1) x d)

    Substituting,

    S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452

    Therefore, the answer is the first choice, 1452.
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