Arithmetic progressions medium

Arithmetic Progressions Quiz (Medium)

1. What is the common difference of the arithmetic progression: 7, 12, 17, 22, ... ?

a) 4 b) 5 c) 6 d) 7

2. Find the next term in the arithmetic progression: 4, 9, 14, 19, ...

a) 23 b) 24 c) 25 d) 26

3. What is the sum of the first 15 terms of the arithmetic progression: 3, 7, 11, 15, ...?

a) 225 b) 240 c) 255 d) 270

4. Find the 20th term of the arithmetic progression: 3, 8, 13, 18, ...

a) 43 b) 44 c) 45 d) 46

5. Which term of the arithmetic progression 6, 13, 20, 27, ... is 100?

a) 25 b) 24 c) 23 d) 22

6. The sum of the first n terms of an arithmetic progression is given by the formula:

a) n(n + 1)/2 b) n(2n + 1) c) n(n - 1)/2 d) n(2n - 1)

7. The nth term of an arithmetic progression with first term a and common difference d is given by:

a) a + (n - 1)d b) a + (n + 1)d c) a + nd d) a + 2d

8. The sum of the first 30 terms of the arithmetic progression: 2, 9, 16, 23, ... is:

a) 660 b) 690 c) 720 d) 750

9. The 12th term of an arithmetic progression is 50 and the common difference is 5. What is the first term?

a) 5 b) 10 c) 15 d) 20

10. Find the sum of all odd terms in the arithmetic progression: 2, 6, 10, 14, ... up to 21 terms.

a) 140 b) 150 c) 160 d) 170