Multiple Choice Questions on If 4 times the 4th term of an A P is equal to 9 times the 9th term of the A P what is 13 times the 1........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If 4 times the 4th term of an A P is equal to 9 times the 9th term of the A P what is 13 times the 1...........

Quantitative Aptitude ( CCS) Arithmetic progression
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    If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?

    7 times the 13th term

    Incorrect Answer

    0

    Correct Answer

    13 times the 7th term

    Incorrect Answer

    4 times the 4th term + 9 times the 9th term

    Incorrect Answer
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    Explanation:

    4t4 = 9t9 , we need to find t13
    4(a + 3d) = 9(a + 8d)
    4a + 12d = 9a + 72d
    => 5a + 60d = 0
    => a + 12d = 0
    => t13 = 0
    => 13 * t13 = 0
    As a simple rule, if n * tn = m * tm, then tm+n = 0.

    By: Amit Kumar
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