Are some my equal signs correct? If wrong please help me fix it.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Are some my equal signs correct? If wrong please help me fix it.
#8
Suppose that hoih, ihz
defined as follows.
is a sequence
h, 1 , h, = 2, h2 = 3
hk =k- t hk-2 th,-3 for each integer K23
a) Prave that ha E 3^ for every integer ndo
Proof (by strong induction)
PlO):" ho= 3°" ?
Pl1): "h,-3'" ?
%3D
1 3° v
2 3' v
3と9 v
P(2): "hz:
Assume PCi) is true
NTS
PCK+I) is True
Assume
hx 23" Let kE正るKこ2 |NTS
hk-143K-!
hk-2 43K-ス
hKt = h thk the-z
E 3K + 3K-l
K-2
by Subshitution
3 (3*-)+3(3*3) +3k-2
: (3*+3+1)(3*)
- 13)(3*-2)
- (0.7)(3 -2)
- (3)(3**)
by algebra
Transcribed Image Text:#8 Suppose that hoih, ihz defined as follows. is a sequence h, 1 , h, = 2, h2 = 3 hk =k- t hk-2 th,-3 for each integer K23 a) Prave that ha E 3^ for every integer ndo Proof (by strong induction) PlO):" ho= 3°" ? Pl1): "h,-3'" ? %3D 1 3° v 2 3' v 3と9 v P(2): "hz: Assume PCi) is true NTS PCK+I) is True Assume hx 23" Let kE正るKこ2 |NTS hk-143K-! hk-2 43K-ス hKt = h thk the-z E 3K + 3K-l K-2 by Subshitution 3 (3*-)+3(3*3) +3k-2 : (3*+3+1)(3*) - 13)(3*-2) - (0.7)(3 -2) - (3)(3**) by algebra
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