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17 July, 08:39

What is the sum of the arithmetic sequence 8, 14, 20 ..., if there are 24 terms?

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Answers (2)
  1. 17 July, 08:53
    0
    The sum is 6. An=8plus6 (n-1)
  2. 17 July, 08:58
    0
    The answer is 1848

    Sum of arithmetic sequence:

    s = n (a1 + an) / 2

    n - number of terms

    a1 - the first therm

    an - n-th term

    an = a1 + (n - 1) d

    d - common difference

    n = 24

    a1 = 8

    d = 6 (14 - 8 = 6; 20 - 14 = 6)

    an = 8 + (24 - 1) * 6 = 8 + 23 * 6 = 146

    s = n (a1 + an) / 2

    s = 24 * (8 + 146) / 2

    = 24 * 154 / 2

    = 1848
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