4. Prove that for all natural numbers n, 1 1 + + 2.3 3.4 1 1.2 1 n(n+1) a. Show it is true for n = 1. + Show your work here: b. Assume it is true for n = k. Show your work here: = C. Prove it is true for k + 1. Show your work here: n n+1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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4. Prove that for all natural numbers n,
1
1
+
+
2.3
3.4
1
1.2
1
n(n+1)
a. Show it is true for n = 1.
+
Show your work here:
b. Assume it is true for n=k.
Show your work here:
=
C. Prove it is true for k + 1.
Show your work here:
n
n+1
Transcribed Image Text:4. Prove that for all natural numbers n, 1 1 + + 2.3 3.4 1 1.2 1 n(n+1) a. Show it is true for n = 1. + Show your work here: b. Assume it is true for n=k. Show your work here: = C. Prove it is true for k + 1. Show your work here: n n+1
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