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3. Growth & Decay in Sequences
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AustraliaAU
Year 12

3.04 Geometric sequences

Lesson
Worksheet
Practice

Interactive practice questions

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

$3$3, $15$15, $75$75, $\editable{}$, $\editable{}$

Easy
< 1min

Find the next three terms of the sequence.

Easy
< 1min

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

Easy
< 1min

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

Easy
2min
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Outcomes

ACMGM071

use recursion to generate a geometric sequence

ACMGM072

display the terms of a geometric sequence in both tabular and graphical form and demonstrate that geometric sequences can be used to model exponential growth and decay in discrete situations

ACMGM073

deduce a rule for the nth term of a particular geometric sequence from the pattern of the terms in the sequence, and use this rule to make predictions

ACMGM074

use geometric sequences to model and analyse (numerically, or graphically only) practical problems involving geometric growth and decay; for example, analysing a compound interest loan or investment, the growth of a bacterial population that doubles in size each hour, the decreasing height of the bounce of a ball at each bounce; or calculating the value of office furniture at the end of each year using the declining (reducing) balance method to depreciate

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