Let a, = 3, and for n > 0, let a, = an-1+n. a. What are the first five terms of the sequence ao, a1, a, ... ? n2+n+6 b. Prove by induction that an for all n 2 0. 2
Let a, = 3, and for n > 0, let a, = an-1+n. a. What are the first five terms of the sequence ao, a1, a, ... ? n2+n+6 b. Prove by induction that an for all n 2 0. 2
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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![2. Let a, = 3, and for n > 0, let an = an-1+ n.
a. What are the first five terms of the sequence ao, a1, a, ... ?
%3D
n²+n+6
b. Prove by induction that an
for all n > 0.
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F620c60a1-10fe-416e-8b85-1e75a34b227e%2Fc9580171-d860-4c53-bd6a-984151796788%2Ftxef2l_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let a, = 3, and for n > 0, let an = an-1+ n.
a. What are the first five terms of the sequence ao, a1, a, ... ?
%3D
n²+n+6
b. Prove by induction that an
for all n > 0.
2
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