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1. The first term of an arithmetic sequence is -1 and the common difference is -3. What is the formula for the nth term?

2. In an arithmetic sequence, the 5th term is 20 and the 9th term is 40. Find the 7th term.

3. Insert 2 arithmetic means between 7 and 25.

4. Find the sum of the first 12 terms of the arithmetic sequence: =-16, 𝑑=3.  

5. A geometric sequence has ​ =1/3 and common ratio r=1/2. Find the general term  

6. The first term of a geometric sequence is 8, and the 4th term is 216. What is the common ratio?

7. Insert 2 geometric means between 2 and 54.

8. Find the sum of the first 6 terms of the geometric sequence with ​ =-5 and r=-2.  

9. Find the sum of the infinite geometric series:4+2+1 +⋯