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Your search for "scope and sequence for english" returned 8 result(s)

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ACMMM071

establish and use the formula for the sum of the first \(n\) terms of an arithmetic sequence.

Structure of Mathematical Methods Mathematical Methods

Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …

Structure of Mathematical Methods | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM068

recognise and use the recursive definition of an arithmetic sequence: \(t_{n+1}=t_n+d\)

ACMMM072

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

ACMMM073

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

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

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

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 \(r\)