Arithmetic sequences and their graphs | Maths | Quizalize & Oak National Academy

Starter quiz

Arithmetic sequences have a __________ difference between successive terms.

positive

negative

constant ✓

variable
Which of these will be amongst the first five terms of the arithmetic sequence $3n-2$ ?

$-2$

$1$ ✓

$3$

$4$ ✓

$5$
Which values are missing from this table for the linear equation $y=7x-9$ ?

$-2$ ✓

$-1$

$2$

$17$

$19$ ✓
Here is a table of values for the linear equation $y=6x-4$ When graphing this equation which coordinate pairs would you plot?

$(-2,-1)$

$(-8,-2)$

$(22,3)$

$(-1,-2)$ ✓

$(3,22)$ ✓
What is the gradient of the line?

$+3$

$+5$ ✓

$+8$

$-5$

$-3$
What is the equation of this line?

$y=x+3$

$y=x+5$

$y=3x+5$

$y=5x+3$ ✓

$y=5(x+3)$

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When plotting a sequence you should always connect the points with a line.

Only the (term number, term value) should be plotted. Points should not be joined as these are discrete values.

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.