Induction Problems for Elementary Functions | MATH 112, Assignments of Mathematics

Material Type: Assignment; Class: Elementary Functions >5; Subject: Mathematics; University: University of Oregon; Term: Fall 2004;

Typology: Assignments

Pre 2010

Uploaded on 07/29/2009

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Math 112
Post chapter 12 Induction Problems (3)
1. Using induction, prove for all positive integers n:
n
X
i=1
(i
3+ 1) = n(n+ 7)
6
1
pf3
pf4

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Math 112

Post chapter 12 Induction Problems (3)

  1. Using induction, prove for all positive integers n:

∑^ n

i=

i 3

n(n + 7) 6

∑^ n

i=

i(i + 2) = n(n + 1)(2n + 7) 6

∑^ n

i=

(2i + 6) = n(n + 7)