Question

    How many terms are there in the geometric progression 4, 20, 100...... 62500?

    A 9 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    First term (a) = 4   common differences (r) = 20/ 4=5 T = 62500 Tn = arn-1 62500=4× (5)n-1 625×25 = (5)n-1 56 = (5)n-1 n-1=6 n=7 Hence the number of terms (n) = 7

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