a. 0, 3, 8, 15, 24,... an b. 3, 5, 8, 12, 17,.. an с. 6, 11, 18, 27, 38, ..

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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Question
Find the closed formula for each of the following sequences \((a_n)_{n \geq 1}\) by relating them to a well-known sequence. Assume the first term given is \(a_1\).

a. \(0, 3, 8, 15, 24, \ldots\)

\[a_n =\]

b. \(3, 5, 8, 12, 17, \ldots\)

\[a_n =\]

c. \(6, 11, 18, 27, 38, \ldots\)

\[a_n =\]

d. \(-1, 0, 4, 22, 118, \ldots\)

\[a_n =\]
Transcribed Image Text:Find the closed formula for each of the following sequences \((a_n)_{n \geq 1}\) by relating them to a well-known sequence. Assume the first term given is \(a_1\). a. \(0, 3, 8, 15, 24, \ldots\) \[a_n =\] b. \(3, 5, 8, 12, 17, \ldots\) \[a_n =\] c. \(6, 11, 18, 27, 38, \ldots\) \[a_n =\] d. \(-1, 0, 4, 22, 118, \ldots\) \[a_n =\]
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According to our company guideline's we can only answer first three part of the question it's a question having multiple part is posted we must only answer first 3 part of the unless specific one is asked. I am solving Part a,b,c you can upload d ad separate question.

 

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