Pre'Calculus2009 -2010
Final R eview
Over t he n ext f ew d ays,y ou w ill c ompletee acho f t he f ollowing p roblemso n a s eparate
piece of paper. Use this as a study guide to preparefor the Final Exam on
Monday,J une1 4fr
T ime: 1 1:00-12:00
R oom#
Pa
Kuta Software - Infinite Algebra 2
Name_
The Law of Cosines
Date_ Period_
Find each measurement indicated. Round your answers to the nearest tenth.
1) Find AB
2) Find BC
B
C
21
29
123
B
41
13
C
A
3) Find BC
4) Find BC
A
17
A
30
91
28
C
9
17
A
B
14
B
C
5)
6 .1,6.2 r eview
Pre-Calc A
Name
Date
Period
Solve eachtriangle. Round to the nearesttenth.
9ss
t.
a=77,b=39,c=50
t 7a + 3 1 J _ 5 0 >
h*Sr.
A=2oo,B:1oo,a=5
-*
@
'
C=t el . +
3.
\s
(tll,L
w
4.
c
ft "- 5"
3
b: cfw_W =h]
ft , aT,Jo
6.
'
(^'o7r t ia( s l?dco
Kuta Software - Infinite Algebra 2
Name_
The Law of Sines
Date_ Period_
Find each measurement indicated. Round your answers to the nearest tenth.
1) Find AC
2) Find AB
A
A
24
118
22
C
7
B
53
44
B
C
3) Find BC
C
4) Find AB
C
B
51
63
9
101
A
B
27
39
A
5) Fi
9.2 Arithmetic Sequences
Definition of a sequence: An infinite
sequence is a function whose domain is the
set of positive integers. The function values
a1, a2, a3, a4,an, are the terms of the
sequence. If the domain of the function
consists of the first n
Series
The sum of the terms of a sequence is
called a series.
Ex.
Given the series:
4 + 7 + 10 + 13 + 16 + . + 76
a. Find the sum of the indicated
series
b. Use sigma notation to write the
sum
38
Ex.
Find the sum:
3
2n+2
n =12
4. Find the first 4 terms o
9.3 Geometric Sequences
Definition: A sequence
a1 , a2 , a3 , a4 ,.an ,. is a
geometric sequence if the ratios of
consecutive terms are the same.
a3
a2
a4
= r , = r , = r , and so on,
a1
a2
a3
assuming that r 0 . The number r is
called the common ratio of
9.1 Sequences
Not all sequences are arithmetic or
geometric. Lets look at some formulas and
generate the first few terms of the sequences.
Ex. List the first four terms as well as the
tenth term of each sequence;
n
a. an =
n +1
n
b. an = 3 + (0.1)
n2
c. a