# Prove using induction for all positive integers ? that...

• Homework Help
• 5
• 75% (4) 3 out of 4 people found this document helpful

This preview shows page 1 - 2 out of 5 pages.

##### We have textbook solutions for you!
The document you are viewing contains questions related to this textbook. The document you are viewing contains questions related to this textbook.
Chapter A / Exercise 36
A First Course in Differential Equations with Modeling Applications
Zill Expert Verified
MAT 243 Online Written Homework Assignments for Week 10/15 Before you start these assignments, you must have studied and understood the common mistakes on inductive proof writing given in the lecture. Specifically, do not use the notation P(n) to refer to both the statement to be proved and to a quantity that P(n) is making a statement about. It is best if you do not use the notation P(n) at all. do not confuse stating P(n+1) with proving it. in proofs of summation formulas, do not assume that the (n+1)th term of the summation is n+1. do not employ the “renaming ritual”. in proofs of summation formulas, do not confuse the running variable in the sigma sum with the variable that represents the upper limit of the summation. make sure to write the correct inductive hypothesis. 1. Prove using induction for all positive integers ? that ∑ 𝑘(𝑘 + 1) 𝑛 𝑘=1 = 1 3 ?(? + 1)(? + 2). : 1 1 : .
©2018 R. Boerner ASU School of Mathematical and Statistical Sciences
##### We have textbook solutions for you!
The document you are viewing contains questions related to this textbook. The document you are viewing contains questions related to this textbook.
Chapter A / Exercise 36
A First Course in Differential Equations with Modeling Applications
Zill Expert Verified
• • • 