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    Question

    In an arithmetic progression, the first term is 18, the

    common difference is 6, and the total number of terms is 48. What is the sum of all the terms in this series?
    A 7632 Correct Answer Incorrect Answer
    B 7532 Correct Answer Incorrect Answer
    C 7682 Correct Answer Incorrect Answer
    D 7582 Correct Answer Incorrect Answer

    Solution

    First term (a) = 18

    Common difference (d) = 6

    Number of terms (n) = 48

    Required sum = (n/2){2a + (n – 1) × d}

    = (48/2) × {2 × 18 + (48 – 1) × 6}

    = 24 × (36 + 47 × 6) = 24 × (36 + 282)

    = 24 × 318 = 7632

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