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25 April, 03:38

If the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 3600 c. s^2 - 3600 d. s 3600

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  1. 25 April, 03:55
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    For the first 60 positive integers, a = 1, n = 60, l = 60.

    Sn = n/2 (a + l)

    s = 60/2 (1 + 60) = 30 (61)

    For the next 60 positive integer, a = 61, n = 60, l = 120

    Sum = 60/2 (61 + 120) = 30 (61 + 120) = 30 (61) + 30 (120) = s + 3600

    Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
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