Arithmetic Progressions

---

Question

---

Question 1 :

The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

1. 8/3
2. 3/7
3. 4/5
4. 2/3
Answer
14850

Question 2 :

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is

1. 13
2. 21
3. 9
4. 17
Answer
14851

Question 3 :

The sum of first n odd natural numbers is

1. 3n - 2
2. n²
3. 2n + 1
4. n^2;- 1
Answer
14852

Question 4 :

Two A.P.'s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is

1. 8
2. 11
3. 3
4. 5
Answer
14853

Question 5 :

The sum of n terms of two A.P.'s are in the ratio 5n + 9: 9n + 6. Then, the ratio of their 18th term is

1. 178/321
2. 175/321
3. 179/321
4. 176/321
Answer
14854