11.1
LESSON DATE
NAME
Practice B For use with pages 651-657
Write tfie first six terms of the sequence. 1.
a., =
n+4
a.. = n + 1
3. a„ = {n + \y
5. 1,4,7, 1 0 , . . . 8. 3,7,11,15,...
6. 4, 3, 2, 1, . . . 9 . 4, 9, 16, 25,. . .
2.
Write the next term in the sequence. Then write a rule for the nth term.
4. i l , i 2 , . . . 7. 5, 7, 9, 1 1 , . . . Graph the sequence. 10.
3,7, 11, 15, 19,23
11.
i 3 5 ^ 1_ 11 2' 5' 8' 11' 14' 17
Write the series with summation notation. 12. 15.
2 + 4 + 6 + 8+10 1- i + i - i +
13. 16.
tA
1+3 + 5+ 7+1 + 4 + 9 + 16 +
1417.
14-2,3,4.
2 + 5 + 8 + TT
- 1 + - 27 + 64-125
Find the sum of the series. 18.
2(6/ - 10)
19.
X(2« + 5)
20. X(-2)"
n= 0
21. 2 [ 3 + {-l)"]
n= 0
«=o
100
50
7 = 3 of the formulas for special series to find the sum of the Use one series. 24
22.
21
1=1
40 23.
2
1=1
,•2
24.
1=1
26. Marching Band To begin the half-time performance, a high school band marches onto the football field in a pyramid formation. The drum major leads the band alone in the first row. There are two band members in the second row, three in the third row, four in the fourth row, and so on. The pyramid formation has 10 rows. How many members does the band have? 27. Geometry Connection A diagonal is an edge that joins two nonadjacent vertices in a polygon. The number of diagonals in the first four polygons is shown. Following the pattern, determine how many diagonals could be drawn in a polygon having twelve sides (dodecagon).
25.
21 !=1
0 diagonals
2 diagonals
5 diagonals
9 diagonals
Copyright© WIcDougal Littell Inc. All rights reserved.
ChaptBTll
Algebra 2 Resource Bool<
DATE
NAME
Practice A For use with pages 651-657
Write the first six terms of the sequence.
1. 4.
a„ =
2;? - 1
a„ = (- D"
2.
5.
a„ = 4 - fj 1 a„ = In
3.
6.
a„ = 2n^ n a„ = n + 2
Write the next term in the sequence. Then write a rule for the nth term.
7. 1,4,9,16,... 9. 1,2,4,8,...
8. 10.
Graph the sequence.
11. 1,3,6, 10, 15,21 13. 1,3,9,27,64,243
12. 14.
2, 3, 4, 5, . . . 2, 4, 6, 8, . . . 1, 5,9, 13, 17,21 5, 3, 1 , - 1 , - 3 , - 5
Write the series with summation notation. 15. 17.
2 + 5 + 8 + 11 + 14 - 2 + 4 - 8 + 1 6 - 3 2 + 64
16.
2 + 4 + 6 + 8 + 10 + 12
IB. ^ -1- 7
10 -I- 13
Find the sum of the series.
^{n-\)
19.
22. '2,kik+ 1) A-=2
20.
21.
(=1
n= 1
2 3 . i ( n 2 + 1) H=
^2n^
0
24.
J;{2« + 3)
Use one of the formulas for special series to find the sum of the series. 12
25.
36
20
2'
26.
2
27.
28. Geometry Connection A diagonal is an edge that joins two nonadjacent vertices in a polygon. The number of diagonals in the first four polygons is shown. Following the pattern, determine how many diagonals could be drawn in a polygon having eight sides (octagon). Make sure you only count each diagonal once.
21 ^/\
0 diagonals
2 diagonals
5 diagonals
9 diagonals
I
Algebra 2 Chapter 11 Resouroe B c o k
Copyright ©McDougal Littell Inc. All rights reserved.
Practice A For use with pages 651-657
Write the first six terms of the sequence. ^ ^ 1.
^
,
^
O
^
iQ-
a.. = 2« -
Write the next term in the sequencb. Then wfite a'rule fir the nth
'-^i
'
8.2,3,4,5,..(J)'^an-nv^
10. 2 , 4 , 6 , 8 , . . .
„. 11. 1,3,6,^^05.21
.13. 1,3<^, 27, 64,
2. 1,5,9, 1 14N5.3<<^l,-3,-5
Write the series with summation notation.
s. _
15.2 + 5 + 8 + 11 + 14
16.2 + 4 + 6 + 8 + 1 0 + 1 2
17.
10.
n
- 2 + 4 - 8 + 1 6 - 3 2 + 64
4 -r 7 -r 10 -r
"Z. ^2X\
,3
l\^_l (- ^ F i r the sum of the series. jpy-I L'^find 19.
2 ( n - 1) XCL^
22. ifc(/:+ l)|-^0
20. £ 4 / (=1 4
23.
CPD +
5
24.
2 (2" + 3)
Use one of the formulas for special series to find the sum of the series.
28.
T'7
Geometry Connection A diagonal is an edge that joins two nonadjacent vertices in a polygon. The number of diagonals in the first four polygons is shown. Following the pattern, determine how many diagonals could be drawn in a polygon having eight sides (octagon). Make sure you only count each diagonal once.
•20 dmc>nc\y'\
/ \ ^jjagonals
^—^
2 diagonals
5 diagonals
9 diagonals
Algebra 2 Chapter 11
Resource Book
Copyright © McDougal Littell Inc. All rights reserved.
'
DATE
NAME.
Practice B For use with pages 651-657
Write tlie first six terms of the sequence. 1.
a., =
n+4 2.
3. .„ = (n+iP
a„ =
ice. Then write a rule for the nth Write the next term in the sequence term 5/2.. r;|^^n/2^
1,4.7, l6,... 8. 3,7, 11, 1 5 , . . . 5.
4. 2' il,|,2^...
7. 5, 7, 9 , 1 1 , . . .
6. 9.
'^^^
4,3,2, 1 , . . J 4, 9, 16, 2 5 , . . .
Graph the sequence sequence.
5
Write the series with summation notation. 12.
2 + 4 + 6 + 8 + 10
17. - 1 + 8 - 27 + 6 4 - 1 2 5
Find the sum of the series. 18.
2(6; - 10)
19.
£ ( 2 n + 5)
20.
J
{-2)"
21. J [ 3 + (-l)"]
Use one of the formulas for special series to find the sum of the series. • 50
25.
26. Marching Band To begin the half-time performance, a high school band marches onto the football field in a pyramid formation. The drum major leads the band alone in the first row. There are two band members in the ^^'S second row, three in the third row, four in the fourth row, and so on. The pyramid formation has 10 rows. How many members does the band have? 27. Geometry Connection A diagonal is an edge that joins two nonadjacent vertices in a polygon. The number of diagonals in the first four polygons is shown. Following the pattern, determine how many diagonals could be drawn in a polygon having twelve sides (dodecagon).
54
21 =1
1
0 diagonals
2 diagonals
5 diagonals
9 diagonals
3 - Lp A - (0 Copyright © McDougal Littell Inc. All rights reserved.
Algebra 2 Chapter 11
Resource Book
