Lesson 2: Analyzing Arithmetic Sequences and Series — Practice Questions

1. 1. An arithmetic sequence has a first term of -2 and a common difference of 5. What is the 15th term of this sequence? ___

2. 2. An arithmetic sequence has a 2nd term of 7 and a 5th term of 16. What is the formula for the general term, $a_n$?

   • A. $a_n = 3n + 1$
   • B. $a_n = 3n + 4$
   • C. $a_n = 4n - 1$
   • D. $a_n = 9n - 11$

3. 3. In an arithmetic sequence, the 5th term is 20 and the common difference is -2. What is the 12th term? ___

4. 4. The 3rd term of an arithmetic sequence is 8 and the 7th term is 24. What is the 10th term of the sequence? ___

5. 5. In an arithmetic sequence with first term 3 and common difference 6, which term in the sequence is equal to 63? $n$ = ___

6. 6. The 6th term of an arithmetic sequence is 30, and the common difference is 5. What is the first term, $a_1$? ___

7. 7. In an arithmetic sequence, the 9th term is -15 and the common difference is -4. What is the first term, $a_1$?

   • A. 17
   • B. -47
   • C. 21
   • D. -51

8. 8. The 10th term of an arithmetic sequence is 42 and the common difference is 3.5. Find the first term. ___

9. 9. The 7th term of an arithmetic sequence is 18. If the common difference is -2, what is the first term?

   • A. 6
   • B. 30
   • C. 32
   • D. 4

10. 10. An arithmetic sequence has a 21st term of 100 and a common difference of 3. What is the value of the first term, $a_1$? ___