Problems Involving Arithmetic Terms Sample Questions

The following are just a small selection of the questions you might see in this topic. They are only intended to be a brief check of your understanding of the examples involving arithmetic terms. For more questions, check your booklet.

1. Find the 215th term of the following arithmetic progression: 109, 106, 103, 100...

2. Given the following A.P.: 2, 9, 16, 23, ... , what term has a value of 268?

3. In a certain A.P. the 9th term is 36, and the 10th term is 40. What are the first three terms?

4. In a given A.P., the first term is 3.5, and the fifteenth term is 24.5. What is the common difference, and what are the values of the first three terms?

Answers

1. -533

2. The 39th term.

3. 4, 8, 12, ...

4. d = 1.5: The first three terms are 3.5, 5, 6.5, ...