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Find the common difference of an AP whos...

Find the common difference of an AP whose first term is 1 and the sum of the first four terms is one-third to the sum of the next four terms.

Text Solution

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`1,1+d,1+2d,1+3d,1+4d,....`
`1+1+d+1+2d+1+3d=1/3(1+4d+1+5d+1+6d+1+7d)`
`4+6d=1/3(4+22d)`
`12+18d=4+22d`
`d=2`.
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Knowledge Check

  • In an A.P., if 1 is the first term and the sum of the are 1 first p terms is zero, then the sum of the next q terms is

    A
    `(q(p+q))/(1-p)`
    B
    `(q(p-q))/(1+p)`
    C
    `(p(p+q))/(1-p)`
    D
    `(p(p-q))/(1+p)`

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