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    Question

    The number 8192 is which term in the following geometric

    sequence 2, 8, 32, 128, . . . . . . .
    A 7 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    Here a = 2 and r = 4 nth term of G.P is an = arn - 1 ⇒ 8192 = 2 x ( 4) n-1 ⇒ 4096 = (4) n - 1 ⇒ (4)6 = (4) n - 1 ⇒ n = 7

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