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the 10th term is 34 of arithmetic series and the sum of the 20th term is 710.what is the 25th term?

  • math -

    the difference between T10 and T20 is 10d. So, 10d=710-34=676
    d=67.6
    T25=T20+5d = 710+338=1048

  • math -

    the answer is t25=79
    and it sum of 20th term that is S20=710.

  • math -

    you cannot have the "sum of the 20th term".

    If you mean the sum of the 1st 20 terms, then

    T10 = a+9d=34
    S20 = 10(2a+19d) = 710
    so, a=7, d=3

    T25 = 7+24*3 = 79

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