Question

    If 8 times the eighth term of an Arithmetic Progression

    (AP) is equal to 12 times its twelfth term, then the 20th term of the AP will be
    A 6 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer

    Solution

    Let the first term of the AP be a & the common difference = d 8th term = A8 = a + 7d 12th term = A12 = a + 11d According to question, 8 × (a + 7d) = 12 × (a + 11d) 8a + 56d = 12a + 132d 12a − 8a = 56d − 132d 4a = −76d a = −19d a + 19d = 0 = A20

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