Instructions
Complete the problems below on arithmetic sequences. Show your work where applicable.
1. What are the first five terms of the arithmetic sequence that starts with 3 and has a common difference of 4?
2. Write the formula for the nth term of the arithmetic sequence where the first term is 5 and the common difference is 3. Then, find the 10th term.
3. A sequence of numbers is 12, 15, 18, ... What is the common difference?
4. If the 5th term of an arithmetic sequence is 25 and the common difference is 5, what is the first term?
5. Fill in the blanks for the sequence: 2, ___, 8, ___, 14. What are the missing numbers?
6. If the 7th term of an arithmetic sequence is 40 and the common difference is 6, what is the value of the first term?
7. Create your own arithmetic sequence with a first term of 10 and a common difference of 2. List the first 6 terms.
8. Challenge: If the 3rd term of an arithmetic sequence is 16 and the 9th term is 40, find the common difference and the first term of the sequence.