Name ———————————————————————
Date ————————————
Practice B
LESSON
12.1
For use with pages 794–801
Write the first six terms of the sequence.
1. an 5 n2 1 6
2. an 5 n2 2 3
3. an 5 3n 1 1
4. f(n) 5 2n 2 1
4
5. f (n) 5 2}
3n
n
6. f (n) 5 }
3n 1 2
For the sequence, describe the pattern, write the next term, and write a
rule for the nth term.
7. 2, 4, 8, 16
8. 1, 8, 27, 64
4 5 6 7
10. }, }, }, }
3 3 3 3
1 1 1 1
9. }, }, }, }
1 4 9 16
4 8 12 16
12. }, }, }, }
2 3 4 5
13. 0.7, 1.3, 1.9, 2.5
14. 1.0, 0.5, 0.0, 20.5
LESSON 12.1
11. 3, 5, 7, 9
Graph the sequence.
15. 1, 2, 3, 4, 5
y
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
3
5
1
17. }, 1, }, 2, }
2
2
2
16. 2, 4, 6, 8, 10
y
1
y
2
1
x
0.5
x
1
x
1
Write the series using summation notation.
18.
6
8
2
4
19. } 1 } 1 } 1 }
5
7
4
6
22 1 1 1 6 1 13 1 22 1 . . .
Find the sum of the series.
8
20.
∑ 3k 2 2
k54
4
21.
∑ i2 1 i 1 4
i52
22
22.
∑i
i51
23. Jacket You want to save $30 to buy a jacket. You begin by saving a dollar in the first
week. You plan to save an additional dollar each week after that. For example, you
will save $2 in the second week, $3 in the third week, and so on. How many weeks
must you save to have saved $30?
Algebra 2
Chapter Resource Book
12-7
Name ———————————————————————
Date ————————————
Practice B
LESSON
12.2
For use with pages 802–809
Tell whether the sequence is arithmetic. Explain why or why not.
1. 2, 25, 212, 219, 226
2. 3, 5.5, 8, 10.5, 13
3. 0, 25, 210, 212, 220
4. 2, 4, 8, 16, 32
5. 1, 2, 4, 7, 11
3 7
9 5
6. }, }, 1, }, }
4 8
8 4
Write a rule for the nth term of the arithmetic sequence. Then find a10.
7. 24, 2, 8, 14, 20
8. 225, 229, 233, 237, 241
3
1
1
1
9. }, 0, 2}, 2}, 2}
4
2
4
4
10. d 5 5, a5 5 33
11. d 5 2, a6 5 10
12. d 5 23, a12 5 234.5
Write a rule for the nth term of the arithmetic sequence that has the two
given terms.
13. a20 5 240, a15 5 170
14. a6 5 13, a14 5 25
15. a9 5 214, a15 5 220
16. a8 5 244, a5 5 232
17. a16 5 6, a20 5 7
6
2
18. a7 5 }, a9 5 }
7
3
Find the sum of the arithmetic series.
∑ (3i 2 1)
i51
22.
∑ (25i 1 17)
i56
20
20.
∑ (22i 1 14)
i51
23.
∑ (6i 2 30)
i54
∑ (2i 2 6)
i51
24.
∑ (211 1 4i)
i58
9
12
LESSON 12.2
15
21.
16
Write a rule for the sequence whose graph is shown.
25.
26.
y
1
(4, 2)
(3, 1)
x
1 (2, 0)
(1, 21)
27.
y
1
y
(1, 4.5)
(3, 3.5)
(2, 4)
(4, 3)
(1, 1)
x
1
(2, 21)
(3, 23)
1
1
(4, 25)
28. Auditorium An auditorium has 25 rows. The first row has 10 seats, and each row
after the first has 1 more seat than the row before it.
a. Write a rule for the number of seats in the nth row.
b. Find the total number of seats in the auditorium.
12-18
Algebra 2
Chapter Resource Book
x
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
8
19.