10th term of series 25+27+29........is

general term of an AS

term(n) = a + (n-1)d
for yours a = 25 , d = 2 and n = 10

term(1) = 25 + 9(2) = .......

To find the 10th term of the series 25, 27, 29, ..., we can observe that each term is obtained by adding 2 to the previous term.

We can calculate the 10th term using the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the first term is 25, the common difference is 2, and we're looking for the 10th term.

10th term = 25 + (10 - 1) * 2
= 25 + 9 * 2
= 25 + 18
= 43

Therefore, the 10th term of the series 25, 27, 29, ... is 43.