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

3 answers

the difference between T10 and T20 is 10d. So, 10d=710-34=676
d=67.6
T25=T20+5d = 710+338=1048
the answer is t25=79
and it sum of 20th term that is S20=710.
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