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29 October, 07:33

Find the sum of the first 100 terms of the arithmetic sequence with the first term 2 and the common difference 5.

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  1. 29 October, 10:14
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    Answer: 24950

    Step-by-step explanation:

    We use the formula

    sn=n2 (2a + (n-1) d)

    To find the sum of the first n terms of an arithmetic series with common difference d (5) and first term a (2).

    Sn=100/2 (2*2 + (100-1) 5)

    Solving for a we obtain:

    Sn=50 (4+495)

    Sn=50 (499) = 24950
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