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The sum of the first four terms of an A....

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

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The correct Answer is:
n=11
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The sum of the first four terms an A.P. is 56 . The sum the of the last four terms is 112. If its first terms is 11 then the number of terms is

The sum of first four terms of an A.P. is 56 and the sum of it's last four terms 112. If its first term is 11 then find the number of terms in the A.P

Knowledge Check

  • The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

    A
    10
    B
    11
    C
    12
    D
    none of these

  • The sum of first p terms of an A.P. is q and the sum of the first q terms is p. The sum of the first (p + q) terms is

    A
    p + q
    B
    0
    C
    `- (p + q)`
    D
    `-2 (p + q)`

  • If the sum of the 100 terms of an A.P. is -1 and the sum of the even numbered terms lying in first 100 terms is 1, then

    A
    common difference of the sequence is `(-3)/(50)`
    B
    first term of the sequence is `(-149)/(50)`
    C
    `100^(th)` term of the sequence is`(74)/(25)`
    D
    arithmetic mean of the odd numbered terms is `(1)/(25)`

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