I. Find the first three terms of the sequence whose nth term is given by the formula. Show the solution. 1. )an=n−1an=n−1 2.) an=1n+1an=1n+1 3. )an=4nn+2an=4nn+2 4.) an=3n+4an=3n+4 5.) an=2n−3an=2n−3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I. Find the first three terms of the sequence whose nth term is given by the formula. Show the solution.

1. )an=n−1an=n−1

2.) an=1n+1an=1n+1

3. )an=4nn+2an=4nn+2

4.) an=3n+4an=3n+4

5.) an=2n−3an=2n−3

II. Use the difference table to predict the next term in the sequence. Show your complete formula. 

1.) 2, 6, 22, 56, 114, 202, _______

2.) 3, 9, 15, 21, 27, _________

3.) 2 , 6, 12, 2 0, 30, 42, ______

4.) 6, 11, 18, 27, 38, 51, ______

5.)  10,16, 22, 28, 34, 40, _____

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