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VCE 11 General 2023

5.02 First-order linear recurrence relations

Interactive practice questions

Consider the sequence represented in the table.

$n$n $5$5 $6$6 $7$7 $8$8 $9$9
$x_n$xn $-23$23 $-27$27 $-31$31 $-35$35 $-39$39
a

What type of sequence is this?

Arithmetic

A

Geometric

B
b

Find the next element of the sequence.

That is, find $x_{10}$x10.

Easy
< 1min

Consider the sequence represented in the table.

Medium
1min

Consider the sequence defined by $a_0=4$a0=4 and $a_{n+1}=a_n+5$an+1=an+5 for $n\ge0$n0.

Medium
4min

Consider the sequence defined by $a_0=2$a0=2 and $a_{n+1}=4a_n$an+1=4an for $n\ge0$n0.

Easy
4min
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Outcomes

U1.AoS2.7

use a given recurrence relation to generate a sequence, deduce the explicit rule, n u from the recursion relation, tabulate, graph and evaluate the sequence

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