Extending Recurrence Relations

You should be familiar with Daniel's notes of Linear Recurrence Relations and Part 2

In this set, we have explored questions which push our understanding further. This will include questions of the following forms:
1) The characteristic equation is not easily solved.
2) We need to set up 2 sequences.
3) The recurrence has other non-constant terms in it.

What are some strategies that you used to solve these problems?

#Combinatorics #RecurrenceRelations

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$