Math 242 FINAL EXAM STUDY GUIDE
Review the study guides for Exams 1-5. Also review the following items from Chapter 9 covered after the last
exam.
DEFINITIONS AND VOCABULARY:
Summation notation (p646)
Properties of sums (p647)
Series (p647)
Partial sums (p647)
Geometric series (p667)
Pascal’s Triangle (p685)
FORMULAS:
Partial sums for an arithmetic sequence (p656): 1
()
2
nn
n
Saa=+
Partial sums for a geometric sequence (p666): 1
1
1
n
n
r
Sa r
⎛⎞
−
=⎜⎟
−
⎝⎠
Sum of an infinite geometric series (p667): 1
1
a
Sr
=
−
Binomial Theorem (p683):
= 0
() C
n
nnrr
r
x
ynrxy
−
+= ⋅
∑
YOU SHOULD BE ABLE TO:
Evaluate partial sums by hand and using your calculator
Write a sum of the terms of a sequence using summation notation
Find an nth partial sum of an arithmetic or geometric sequence (formulas provided)
Find the sum of an infinite geometric series
Solve applied problems involving sums of an arithmetic or geometric sequence
Find a binomial expansion using Pascal's Triangle
Find the coefficients of a binomial expansion using nCr
Find a binomial expansion using the Binomial Theorem
Find a specific term of a binomial expansion using the Binomial Theorem
REVIEW PROBLEMS:
Review Exercises (715): 13-24, 41-48, 67-76, 95-98, 103-106
Chapter Test (p719): 6-8, 10, 11