MATH 101 Quiz #5 (v.A2)
Last Name:
Friday, March 18
First Name:
Grade:
Student-No:
Section:
Very short answer question
1. 1 mark Does the series
∞
X
n=2
n2
√ converge? (Answer “yes” or “no” in the box.)
3n2 + n
Answer:
Short answer questions—you must show your work
2. 2 marks Relate the number 0.53̄ = 0.5333333 . . . to the sum of a geometric series, and use
that to represent it as a rational number (a fraction or combination of fractions, with no
decimals). A calculator-ready answer is acceptable.
Answer:
3. 2 marks Show that the series
∞
X
n=2
3
converges.
n(log n)5/4
Long answer question—you must show your work
yy 0
1
4. 5 marks Find the solution to the differential equation x
= that satisfies y(0) = 3.
e − 2x
y
Solve completely for y as a function of x.