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Algebra 2 - Sequence and Series
Chapter Test Review
1. Identify the sequence as arithmetic, geometric, or neither. 1, 1, 2, 6, 24, 120, . . .
2. The following sequence is arithmetic. 12,___,___,___,18 Find the missing terms.
3. Find the sum of the first 25 terms of the arithmetic series. 8 + 15 + 22 + 29 + . . .
4. Find the sum of the first 12 terms of the arithmetic series. -7 1 9 17 ...
5. Find the sum for the arithmetic series described. d=7,n=18, last term is 72
6. Find the sum of the infinite geometric series. 2 - 2/3 + 2/9 -  . . .
7. Find the first 4 terms of the geometric sequence for which first term is -4 and ratio is -3
8. Identify if the following sequences as arithmetic, geometric, or neither. If a sequence is arithmetic, identify the common difference. If a sequence is geometric, identify the common ratio. -21,-16,-11,-6,...
9. What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?
10. Find the 50th term of the sequence 5, –2, –9, –16, ...
11. If the fifth and eighth terms of an arithmetic sequence are -9 and -21, respectively, what are the third terms of the sequence?
12. Suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce? Round to the nearest tenth.

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