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arthmetic

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in an arthmetic progression or series,the 13th term is 27 and the 7th iterm is 3 times the 2nd term ,find first term the common difference the sum of rhe squence

  • arthmetic -

    13th term is 27 --- a + 12d = 27

    the 7th iterm is 3 times the 2nd term --> a+6d = 3(a+d)
    or
    a+6d = 3a + 3d
    2a = 3d
    a = 3d/2
    sub into the first equation
    3d/2 + 12d = 27
    3d+24d=54
    d = 2
    then a = 3(2)/2 = 3

    I will let you finish it for the sum, you did not say how many terms you want to add.

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