Arithmetic Sequences Quiz

1. The common difference in an arithmetic sequence is the difference between any two consecutive terms.

• TRUE
• FALSE

2. The nth term of an arithmetic sequence can be expressed using the formula: an​=a1​+(n−1)d where a1​ is the first term and d is the common difference. In this sequence, if a1​=5 and d=3, then the 10th term a10​=______.

3. Which of the following sequences is an arithmetic sequence?

• 2, 4, 8, 16
• 3, 7, 11, 18
• 1, 1, 2, 3
• 5, 10, 15, 20, 25

4. Given the arithmetic sequence where the first term is 12 and the common difference is -4, calculate the 15th term. Show your work.

5. If the 5th term of an arithmetic sequence is 20 and the 10th term is 35, what is the common difference?

• 3
• 4
• 5
• 7