Topics
3. Growth & Decay in Sequences
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AustraliaAU
Year 12

3.06 First order linear recurrence

Lesson
Worksheet
Practice

Interactive practice questions

Consider the following sequence.

$2,11,20,29,\ldots$2,11,20,29,…

a

Which of the following most correctly identifies the type of sequence?

Arithmetic

A

Geometric

B

First order linear

C

None of the others

D
b

Find the common difference.

Easy
< 1min

Consider the following sequence.

Easy
< 1min

Consider the following sequence.

Easy
< 1min

Consider the following sequence.

Medium
1min
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Outcomes

ACMGM075

use a general first-order linear recurrence relation to generate the terms of a sequence and to display it in both tabular and graphical form

ACMGM076

recognise that a sequence generated by a first-order linear recurrence relation can have a long term increasing, decreasing or steady-state solution

ACMGM077

use first-order linear recurrence relations to model and analyse (numerically or graphically only) practical problems; for example, investigating the growth of a trout population in a lake recorded at the end of each year and where limited recreational fishing is permitted, or the amount owing on a reducing balance loan after each payment is made

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