topic badge

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

ACMMM068

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

ACMMM069

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

ACMMM070

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

What is Mathspace

About Mathspace