ACMMM072

recognise and use the recursive definition of a geometric sequence:\(t_{n+1}=rt_n\)

ACMMM072 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM073

use the formula \(t_n=r^{n-1}t_1\) for the general term of a geometric sequence and recognise its exponential nature

ACMMM073 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM075

establish and use the formula \(S_n=t_1\frac{r^n-1}{r-1}\) for the sum of the first \(n\) terms of a geometric sequence

ACMMM075 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACSBL079

Protein synthesis involves transcription of a gene into messenger RNA in the nucleus, and translation into an amino acid sequence at the ribosome

ACSBL079 | Content Descriptions | Unit 3 | Biology | Science | Senior secondary curriculum

ACMGM068

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

ACMGM068 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

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

ACMGM072 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMGM076

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

ACMGM076 | Content Descriptions | Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum

ACMMM069

use the formula \(t_n=t_1+\left(n-1\right)d\) for the general term of an arithmetic sequence and recognise its linear nature

ACMMM069 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM074

understand the limiting behaviour as \(n\rightarrow\infty\) of the terms \(t_n\) in a geometric sequence and its dependence on the value of the common ratio \(r\)

ACMMM074 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACSES028

The characteristics of past environments and communities (for example, presence of water, nature of the substrate, organism assemblages) can be inferred from the sequence and internal textures of sedimentary rocks and enclosed fossils

ACSES028 | Content Descriptions | Unit 1 | Earth and Environmental Science | Science | Senior secondary curriculum

ACHASSI004

Sequence familiar objects and events

Elaborations ScOT Terms

ACHASSI004 | Content Descriptions | Foundation Year | HASS | Humanities and Social Sciences | F-10 curriculum

ACHASSI021

Sequence familiar objects and events

Elaborations ScOT Terms

ACHASSI021 | Content Descriptions | Year 1 | HASS | Humanities and Social Sciences | F-10 curriculum

ACHASSI037

Sequence familiar objects and events

Elaborations ScOT Terms

ACHASSI037 | Content Descriptions | Year 2 | HASS | Humanities and Social Sciences | F-10 curriculum

ACHHS205

Sequence historical events, developments and periods

Elaborations ScOT Terms

ACHHS205 | Content Descriptions | Year 7 | History | Humanities and Social Sciences | F-10 curriculum

ACHHS148

Sequence historical events, developments and periods

Elaborations ScOT Terms

ACHHS148 | Content Descriptions | Year 8 | History | Humanities and Social Sciences | F-10 curriculum

ACHASSI055

Sequence information about people’s lives and events

Elaborations ScOT Terms

ACHASSI055 | Content Descriptions | Year 3 | HASS | Humanities and Social Sciences | F-10 curriculum

ACHASSI076

Sequence information about people’s lives and events

Elaborations ScOT Terms

ACHASSI076 | Content Descriptions | Year 4 | HASS | Humanities and Social Sciences | F-10 curriculum

ACTDEP009

Sequence steps for making designed solutions and working collaboratively

Elaborations ScOT Terms

ACTDEP009 | Content Descriptions | Foundation to Year 2 | Design and Technologies | Technologies | F-10 curriculum

ACELY1677

Plan and deliver short presentations, providing some key details in logical sequence

Elaborations ScOT Terms

ACELY1677 | Content Descriptions | Year 3 | English | F-10 curriculum

ACTDEP018

Plan a sequence of production steps when making designed solutions individually and collaboratively

Elaborations ScOT Terms

ACTDEP018 | Content Descriptions | Years 3 and 4 | Design and Technologies | Technologies | F-10 curriculum