Identifying values in an arithmetic sequence | Maths | Quizalize & Oak National Academy

Starter quiz

An arithmetic sequence has a common additive difference between successive terms. They are also frequently called __________ sequences.

linear ✓

increasing

adding up

geometric
In the linear equation $y=6x-3$ what is the value of $y$ when $x=3$ ?

'15' ✓
In the linear equation $y=6x-3$ what is the value of $x$ when $y=3$ ?

'1' ✓
Match the $x$ values to their respective $y$ values for the linear equation $y=5-7x$

$x=1$

⇔

$y=-2$ ✓

$x=2$

⇔

$y=-9$ ✓

$x=3$

⇔

$y=-16$ ✓

$x=4$

⇔

$y=-23$ ✓

$x=5$

⇔

$y=-30$ ✓

$x=10$

⇔

$y=-65$ ✓
Solve the equation $3x-17=451$ $x=$ ______

'156' ✓
Solve the equation $4x+81=1000$ and give your answer as a decimal. $x=$ ______

'229.75' ✓

Exit quiz

In sequence notation, $T$ is the term and $n$ is the term's __________.

position in the sequence ✓

value

additive difference
Which of these are the first three terms of the sequence $2n-1$ ?

$1$ ✓

$2$

$3$ ✓

$4$

$5$ ✓
Which of these are the first five terms of the sequence $20-7n$ ?

$20,13,6,-1,-8,...$

$20,13,6,-2,-9,...$

$13,6,-1,-8,-15...$ ✓

$13,6,-2,-9,-16...$
What is the $50^\text{th}$ term of the sequence $8n-38$ ?

'362' ✓
What position is the term 258 in the sequence $8n-38$ ?

'37' ✓
Which of the below are in the sequence $12n-15$ ?

$285$ ✓

$290$

$993$ ✓

$1197$ ✓

$1200$

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Video

Lesson Details

Key learning points

The n^th term rule can identify what term number a given number is.
If the term number is not a positive integer, then the term is not in the sequence.

Common misconception

As long as the equation can be solved, the value will be in the sequence.

For the value to be in the sequence, the value for $n$ must be a positive integer. If it is not, then the value is not in the sequence as the term number must be a positive integer.

Keywords

Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
N^th term - The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.