A sequence a0, a1, a2, a3, ..., an, .... is define by 7an-1 - 10an-2, for n 2 2 and ao=5 and a,=16. an %3D Prove that an = 3 x 2" +2 x 5" for all integers n 2 0.
A sequence a0, a1, a2, a3, ..., an, .... is define by 7an-1 - 10an-2, for n 2 2 and ao=5 and a,=16. an %3D Prove that an = 3 x 2" +2 x 5" for all integers n 2 0.
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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Transcribed Image Text:Question 13
.... is define by
A sequence a0, a1, a2, a3,..
an = 7an-1 – 10an-2, for n > 2 and a=5 and a =16.
An,
Prove that an
= 3 x 2" + 2 x 5" for all integers n > 0.
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