Easy questions
1. The 20th term of the AP 1, 5, 9, 13, 17, …
2. The nth term of the AP 5, 11, 17, 23, …
3. The 10th term of the AP 63, 58, 53, 48, …
4. The 14th term of the AP 9, 5, 1, −3,……
5. How many terms are there in the AP 6, 10, 14, 18, …, 174?
6. Which term of the AP 3, 8, 13, 18, … is 88?
7. Which term of the AP 72, 68, 64, 60, … is 0?
Intermediate questions
8. If the nth term of a progression is (4n − 10), show that it is an AP.
Find its:
(i) First term
(ii) Common difference
(iii) 16th term
9. The 4th term of an AP is zero. Prove that its 25th term is triple its 11th term.
Advanced questions
10. Which term of the AP 3, 8, 13, 18, … will be 55 more than its 20th term?
11. How many 3-digit numbers are divisible by 7?
12. Find the 6th term from the end of the AP 17, 14, 11, …, (−40).
13. If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.