The inductive step of an inductive proof shows that for k ≥ 4, if k! > 2k, then (k+ 1)! ≥ 2k+¹ However the lines are not labeled with the proper justification. Which line should be labeled "Inductive Hypothesis"? Step 3 Step 5 Step 4 (k+1)! ≥(k+1) ·k (k-1)...2.1 (k+1)! ≥(k+ 1) · k! (k+1)! ≥ (k+1). 2k (k+1)! ≥2.2k (k+1)! ≥2k+1 O Step 2 (Step 1) (Step 2) (Step 3) (Step 4) (Step 5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Discrete math
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3
The inductive step of an inductive proof shows that for k ≥ 4, if
k! > 2k, then (k+1)! ≥ 2k+1
However the lines are not labeled with the proper justification.
Which line should be labeled "Inductive Hypothesis"?
E
D
O Step 3
O Step 5
с
O Step 4
O Step 2
S4
(k+1)!
(k+1)! ≥(k+1). k!
(k+1)! ≥ (k+1). 2k
(k+1)! ≥2.2k
(k+1)! ≥2k+1
$
R
FL
≥ (k+1) k. (k-1). 2.1
%
G Search or type URL
5
T
.
^
6
Y
&
7
G H
U
* 00
8
+
(Step 1)
(Step 2)
(Step 3)
(Step 4)
(Step 5)
9
J K
C
Transcribed Image Text:# 3 The inductive step of an inductive proof shows that for k ≥ 4, if k! > 2k, then (k+1)! ≥ 2k+1 However the lines are not labeled with the proper justification. Which line should be labeled "Inductive Hypothesis"? E D O Step 3 O Step 5 с O Step 4 O Step 2 S4 (k+1)! (k+1)! ≥(k+1). k! (k+1)! ≥ (k+1). 2k (k+1)! ≥2.2k (k+1)! ≥2k+1 $ R FL ≥ (k+1) k. (k-1). 2.1 % G Search or type URL 5 T . ^ 6 Y & 7 G H U * 00 8 + (Step 1) (Step 2) (Step 3) (Step 4) (Step 5) 9 J K C
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