3. Growth & Decay in Sequences

3.02 Arithmetic sequences

3.03 Arithmetic Sequences with technology

3.04 Geometric sequences

3.05 Geometric sequences with technology

3.06 Further applications of growth and decay

Year 12

3.02 Arithmetic sequences

Interactive practice questions

Study the pattern for the following sequence, and write down the next two terms.

$4$4, $8$8, $12$12, $16$16, $\editable{}$, $\editable{}$

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Study the pattern for the following sequence, and write down the next two terms.

Easy

< 1min

Outcomes

3.3.1.1

use recursion to generate an arithmetic sequence

3.3.1.2

display the terms of an arithmetic sequence in both tabular and graphical form and demonstrate that arithmetic sequences can be used to model linear growth and decay in discrete situations

3.3.1.3

use the rule for the 𝑛𝑡ℎ term using 𝑡_𝑛 = 𝑎+(𝑛–1)𝑑, where 𝑡_𝑛 represents the 𝑛𝑡ℎ term of the sequence, 𝑎= first term, 𝑛=term number and 𝑑=common difference of a particular arithmetic sequence from the pattern of the terms in an arithmetic sequence, and use this rule to make predictions

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