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9 June, 07:40

Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3.

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Answers (2)
  1. 9 June, 09:58
    0
    The sum of an arithmetic sequence is the average of the first and last terms time the number of terms ...

    So the first term is 3+3 and the last term is 3 (13) + 3

    So the sum is:

    13 (6+42) / 2

    312
  2. 9 June, 11:27
    0
    Sum of n terms = (n/2) [2a1 + (n-1) d]

    Here, a1 = 3 (1) + 3 = 6, n = 13 and d = second term - first term 9-6 = 3

    so sum of 13 term = 6.5 (12 + 12*3) = 312, - - - Answer
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