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If a series T(1)+T(2)+T(3)+...+T(n) is i...

If a series `T_(1)+T_(2)+T_(3)+...+T_(n)` is in AP with common, difference d, then the terms `T_(1),T_(4),T_(7),...`are in AP with, common difference.

Answer

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For an A.P. , t_(3)=7 and t_(4)=3, Find the common difference and the first term.

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Knowledge Check

  • The common difference d of the A.P. in which T_(7) = 9 and T_(1)T_(2)T_(7) is least is

    A
    `33//2`
    B
    `5//4`
    C
    `33//20`
    D
    `7//3`
  • If for an A.P. t_(24) -t_(17) = - 28 , then what is the common difference ?

    A
    `4`
    B
    `-4`
    C
    `8`
    D
    `-8`
  • The value of the common difference of an A.P. which makes T_(1) T_(2) T_(7) least, given that T_(7) = 9 , is

    A
    `d = (33)/(2)`
    B
    `d = (5)/(4)`
    C
    `d = (33)/(20)`
    D
    none of these
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    Find the common difference of the A.P., if a=100and t_(20)=176 .

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