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4. As in 1(a) on the previous page, define a sequence of integers a1, a2, a3, ... by a1 = 1, a2 = 3, and a = a4 + ar–1 for each integer t 2 3. Prove by strong induction that an <(n for each integer n2 1.

4. As in 1(a) on the previous page, define a sequence of integers a1, a2, a3, ... by a1 = 1, a2 = 3, and a = a4 + ar–1 for each integer t 2 3. Prove by strong induction that an <(n for each integer n2 1.

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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You don't need part 1a, they are just saying it's a sequence.

4 As in 1(a) on the previous page, define a sequence of integers ɑ1, a2, a3, . . . by a1 = 1, a, = 3. and = + a,-1 for each integer t 2 3. Prove by strong induction that an < " for each integer n>1.
Transcribed Image Text:4 As in 1(a) on the previous page, define a sequence of integers ɑ1, a2, a3, . . . by a1 = 1, a, = 3. and = + a,-1 for each integer t 2 3. Prove by strong induction that an < " for each integer n>1.
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