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8.02 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

How is the common difference of an arithmetic sequence obtained?

Easy
< 1min

Study the pattern for the following sequence:

$-6,-\frac{62}{9},-\frac{70}{9},-\frac{26}{3},\ldots$6,629,709,263,

Easy
< 1min
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Outcomes

2.2.1

recognise and use the recursive definition of an arithmetic sequence: t_n+1=t_n+d

2.2.2

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

2.2.3

use arithmetic sequences in contexts involving discrete linear growth or decay, such as simple interest

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