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14 July, 22:37

What is the sum of the first five terms of the series 35 30 25

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  1. 15 July, 02:30
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    By keenly investigating the given sequence, it is evident that is an arithmetic sequence with a common difference (d) of - 5. To solve for the sum (S) (also called arithmetic series),

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

    where n is 5 and a1 is 35. Substituting the given known values,

    S5 = (5/2) x (2 x 35 + (5 - 1) x - 5) = 125

    Thus, the sum of the first five terms is 125.
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