What is a linear sequence?
A sequence where the difference between each term is the same.
What is the common difference?
The amount added or subtracted between each term.
What is the common difference in: 4, 7, 10, 13?
+3
Write the formula for a linear sequence.
an=a+(n−1)d
What does 𝑛 represent in a sequence formula?
The term number (position in the sequence).
What does 𝑑 represent?
The common difference.
What does 𝑎 represent in 𝑎𝑛 = 𝑎 + (𝑛 -1)𝑑
The first term
What is the rule for the sequence: 3, 6, 9, 12?
an=3n
How do you find the rule of a linear sequence?
Find the common difference and use it to build a formula.
What do you plot on the x-axis when graphing a sequence?
The term number (n).
What do you plot on the y-axis?
The value of the term.
Write the coordinates for the sequence 2, 5, 8.
(1,2), (2,5), (3,8)
Do you join the points in a sequence graph?
No, because sequences are discrete.
What shape do linear sequence points make on a graph?
A straight-line pattern.
What is the common difference in: 10, 7, 4, 1?
−3
Find the next term: 5, 9, 13, 17
21
Find the common difference: 1, 4, 7, 10
+3
What is the 5th term of the sequence 2, 4, 6, 8?
10
What is another formula for linear sequences?
an=dn+c
What does a linear sequence graph represent?
The relationship between the term number and the term value.
