Question

    If the first term of the arithmetic progression is 18,

    the common difference is 5, and the number of terms in the series are 40, then find the sum of the series.
    A 7732 Correct Answer Incorrect Answer
    B 5544 Correct Answer Incorrect Answer
    C 4455 Correct Answer Incorrect Answer
    D 4620 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    First term (a) = 18 Common difference (d) = 5 Number of terms (n) = 40 Required sum = (n/2) {2a + (n – 1) × d} = (40/2) × {2 × 18 + (40 – 1) × 5} = 20 × (36 + 39 × 5) = 20× (36 + 195) = 20 × 231 = 4620

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