#### (i) The 15th term of an A.P. is 3 more than twice its 7th term. If the 10th term of the A.P. is 41, find its nth term.

(ii) The sum of 5th and 7th terms of an A.P. is 52 and the 10th term is 46. Find A.P.

(iii) The sum of 2nd and 7th terms of an A.P. is 30. If its 15th term is 1 less than twice its 8th term, find the A.P.

**Solution:**

**More Solutions:**

- In an A.P. (with usual notations):
- The first term of an A.P. is 5, the last term is 45 and the sum is 400.
- How many terms of the A.P. 25, 22, 19, … are needed to give the sum 116
- Find the sum of first 22 terms, of an A.P. in which d = 7 and a22 is 149.
- If the sum of the first 6 terms of an A.P. is 36.
- If an = 3 – 4n, show that a1, a2, a3, … form an A.P.