Math 115
Instructor
Name: Jeremy Miller
Email: [email protected]
Office hours: Room383A (all locations in Building 380), Wednesday 1:30-3:30PM and by appointment
TA
Name: Alexandra Florea
Email: [email protected]
Office Hours: Room 380R, Monday 9-1
Math 115, HW 1
Solutions
Problem 1
We will use induction to prove the statement. The base case for n = 1 is true, since 8 1 5 =
3 = 4 12 1. Now assume that 3 + 11 + . . . + (8n 5) = 4n2 n and we will prove that
3 + 11 + . . . + (8 (n + 1) 1) = 4(n + 1)2 (
HOMEWORK 2
Math 115
Due Friday 10/10/2014 in class
Chapter 2:
7.4
This problem says give an example of something. You should interpret this problem and all
future similar questions as given an example and prove that the example has the desired property.
8