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E 3* + 3K +3K-2 Suppose that ho ih, ihz.. is a sequence # 8 defined as follows. h, =1 ,h, = 2, ha = 3 he =hk-i t hk -2 the-3 for each integer K3 a) Prove that hn E 3^ for every integer %3D Proof (by strong induction) P(O):" h,= 30" ? Pli): "h,=3'"? P(2): "h2 =32" Assume PCi) is true for IE isk 1 3° v 2 3' v %3D NTS PCK+1) IS T Assume hk 3* Let kE Z"ƏkZ2 NTS: hx+l=3k hk-143k- hk-2 63K-2 hKt1 = h +hky the k^2 by Subshitution 3 (3-)+3(3*3)+3*2 : (3*+3+1)(3*-2) - (13)(3*-2) (2.7)(3-3) (3)(3**) by algeb rm.

E 3* + 3K +3K-2 Suppose that ho ih, ihz.. is a sequence # 8 defined as follows. h, =1 ,h, = 2, ha = 3 he =hk-i t hk -2 the-3 for each integer K3 a) Prove that hn E 3^ for every integer %3D Proof (by strong induction) P(O):" h,= 30" ? Pli): "h,=3'"? P(2): "h2 =32" Assume PCi) is true for IE isk 1 3° v 2 3' v %3D NTS PCK+1) IS T Assume hk 3* Let kE Z"ƏkZ2 NTS: hx+l=3k hk-143k- hk-2 63K-2 hKt1 = h +hky the k^2 by Subshitution 3 (3-)+3(3*3)+3*2 : (3*+3+1)(3*-2) - (13)(3*-2) (2.7)(3-3) (3)(3**) by algeb rm.

Advanced Engineering Mathematics
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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Can you help me find the mistake? My teacher said there is an equal sign that should be inequality but I can't find it
# 8 Suppose that ho ih, ihz.- is a sequence defined as follows. h, =1 ,h, = 2, h2 = 3 , hz = %3D hx =hk-i t hk -2 the-3 for each integer K3 a) Prore that ha E 3" for every integer Proof (by strong induction) P(0):" h,= 30" ? Pli): "h,=3'" ? P(2): "h2 =32" Assume PCi) is true for 1E i sk %3D 1 3° v 2 3' v NTS PCK+1) IS T Assume NTS: h+1 3 hk-143K- hk-2 63K-2 k k^2 by Subshitution *3K-2 -2 - (3*-3+1)(3*-2) - (13)(3*-2) (2.7)(3*-2) (3)(3**) by algeb rm.
Transcribed Image Text:# 8 Suppose that ho ih, ihz.- is a sequence defined as follows. h, =1 ,h, = 2, h2 = 3 , hz = %3D hx =hk-i t hk -2 the-3 for each integer K3 a) Prore that ha E 3" for every integer Proof (by strong induction) P(0):" h,= 30" ? Pli): "h,=3'" ? P(2): "h2 =32" Assume PCi) is true for 1E i sk %3D 1 3° v 2 3' v NTS PCK+1) IS T Assume NTS: h+1 3 hk-143K- hk-2 63K-2 k k^2 by Subshitution *3K-2 -2 - (3*-3+1)(3*-2) - (13)(3*-2) (2.7)(3*-2) (3)(3**) by algeb rm.
There's one (what I think is obvious) equality that should be inequality.
Transcribed Image Text:There's one (what I think is obvious) equality that should be inequality.
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