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    Question

    In a geometric progression, the first term is 4 and the

    common ratio is 2. If the sum of the first n terms is 252, what is the value of n?
    A 6 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    ATQ, For GP with first term a and ratio r тЙа 1: SтВЩ = a (rтБ┐ тИТ 1)/(r тИТ 1) Here a = 4, r = 2, SтВЩ = 252: 252 = 4(2тБ┐ тИТ 1)/(2 тИТ 1) = 4(2тБ┐ тИТ 1) 2тБ┐ тИТ 1 = 252 / 4 = 63 2тБ┐ = 64 тЗТ n = 6.

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