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    Question

    In an arithmetic progression (AP), the first term is 7,

    the common difference is 4, and the last term is 55. How many terms are there in the AP?
    A 17 Correct Answer Incorrect Answer
    B 13 Correct Answer Incorrect Answer
    C 21 Correct Answer Incorrect Answer
    D 33 Correct Answer Incorrect Answer

    Solution

    ATQ, General term: aₙ = a + (n − 1)d Given a = 7, d = 4, aₙ = 55 So, 55 = 7 + (n − 1) × 4 55 − 7 = 4(n − 1) 48 = 4(n − 1) n − 1 = 12 n = 13

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