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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, . . .

Geometric

Arithmetic

Recursive

Either

2. The following sequence is arithmetic. 12,___,___,___,18 Find the missing terms.

21,15, 82

14, 16, 18

13.5 , 15, 16.5

13.5, 15.5, 17

3. Find the sum of the first 25 terms of the arithmetic series. 8 + 15 + 22 + 29 + . . .

240

2300

230

2400

4. Find the sum of the first 12 terms of the arithmetic series. -7 1 9 17 ...

426

888

434

444

5. Find the sum for the arithmetic series described. d=7,n=18, last term is 72

225

285

250

None of the above

6. Find the sum of the infinite geometric series. 2 - 2/3 + 2/9 - . . .

-3/2

3/2

2/3

None of the above

7. Find the first 4 terms of the geometric sequence for which first term is -4 and ratio is -3

4,12,36,108

4,12,20,28

4,16,64,128

None of the above

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,...

geometric, r = 6

arithmetic, d = 4

geometric, r = 5

arithmetic, d = 5

9. What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

4/3

3/4

5/4

4/5

10. Find the 50th term of the sequence 5, –2, –9, –16, ...

-285

-330

-333

None of the above

11. If the fifth and eighth terms of an arithmetic sequence are -9 and -21, respectively, what are the third terms of the sequence?

2

-3

-1

5

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.

7.8 feet

1.5 feet

12.1 feet

None of the abouve

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