Math 9C
Midterm 1 Study Guide
C. Pro  Fall 2011
The test will cover 12.112.7 and you should also know the how to do the problems
assigned in 8.8.
The following questions are at the boundary of what I want you to know. Most of
the problems I ask will be easier than the ones listed below, but none will be more
difficult.
1
Concept questions
What is the difference between a sequence and a series?
Can you give the definition of what it means for a sequence to converge?
What is the definition for a series to converge?
If the
a
k
’s are nonnegative, why does this say the sequence of partial sums is an
increasing sequence?
What is the Monotone bounded convergence theorem?
Can you explain how the integral test is used to show your sequence of partial sums
is bounded?
How did we come up with the
p
test?
How are the integral test and the comparison test similar?
What is a power series?
What is the definition of the radius and interval of convergence for a given power
series?
2
Sample Problems
State the integral test, comparison test, limit comparison test, alternating series test,
ratio test, and root test.
Find the
n
th term of the sequence
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 Fall '11
 c
 Math, Mathematical Series, Math 9C, C. Pro

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