CT 32: Arithmetic & Geometric Progression – III

1.Calculate the maximum sum of an AP 38, 36,34, 32 ..........

2. The sum of the first 12 terms of an AP is 264. The sum of the next 12 terms of the same AP is 792. What is the difference between the third and the second term?

3. The sum of the first ten terms of an AP is 180 and that of the last ten is 960. If the AP has 21 terms, what is the middle term?

4. The sum of the 5^th term and the 15^th term of an AP is 116. The sum of the third term and the 7^th term of the same AP is 56. Find the common difference of the AP.

5. If the sum of n terms of an AP is 2n² + 3n, then its n^th terms is

6. The 17^th and 1^st terms of an AP are 315 and 251 respectively. Find the sum upto 24 terms.

7. The sum of the first term and the last term of an AP is 51. The second last term is 42. Find the second term.

8. First term of an arithmetic progression is 23 and the sum of first 10 terms is 725, then find the 4^th term of that arithmetic progression.

9. What will be the sum of 3 + 7 + 11 + 15 + 19 + ... upto 80 terms ?

10. What is the sum of the first 18^th terms of an AP. If the 1^st term is -20 and 18^th term is 31?