WorksheetsSequences
Total questions: 21
Worksheet time: 22mins
What makes a sequence "linear"?
The first difference is the same between all terms
Each term goes up or down the same amount
If I plot the terms against their position it'll be a straight line
It's written on a line, nicely, in my book
What is the constant first difference of this sequence?
1, 4, 7, 11, 14 ...
Add 4
Add 3
Subtract 4
Subtract 3
Is this sequence linear?
1, 4, 7, 11, 14 ...
Yes
No
Yes
No
What would you call this sequence of numbers?
1, 3, 6, 10, 15, 21 ...
Square
Triangle
Fibonacci
Rectangle
Is this sequence linear or non-linear?
1, 4, 9, 16, 25...
Linear
Non-linear
What would you call this sequence of numbers?
1, 4, 9, 16, 25...
Square
Triangle
Fibonacci
Rectangle
What is the general rule for a Fibonacci sequence?
Anything you like
Double the term before
Add the two previous terms
A Fibonacci series is such...
1, 1, 2, 3, 5, ?, 13, 21...
What is the value of the missing term ?
(a)
This is a Fibonacci series with a different starting point.
4, 2, 6, 8, 14, 22, ...
What is the next term?
Summer term
36
24
19
Is the following sequence linear or non-linear?
20, 18, 16, 14, 12 ...
Linear
Non-linear
Describe what happens between terms.
Add 2 sticks each time
Add 3 stick each time
Double the number of sticks each time
Halve the number of sticks each time
What sequence is this?
M, T, W, T, F, S, S
Some letters
Months of the year
Days of the week
An acronym
What is the missing term?
31, 28 (29), 31, 30, 31, 30, 31, ??, 30, 31, 30, 31
28
29
30
31
Describe what is happening in this sequence.
1, 2, 4, 8, 16, 32, ...
Add 1, then 2, then 4, then 8, then 16...
Double the previous term
Triple the previous number
Add the previous terms
Which of the following is a linear sequence?
3, 5, 7, 9, 11, ...
3, 5, 8, 12, 17, ...
5, 4.5, 4, 3.5, 3, 2.5, ...
5, 4.5, 4.2, 4.0, 3.95, ...
What are the next three terms of this sequence?
-14, -10, -6,
2, -2, 6
-2, 0, 4
2, -2, -6
-2, 2, 6
What are the next three terms in this sequence?
256, 128, 64, ...
-64, -128, -256
60, 56, 52
32, 20, 10
32, 16, 8
To find the next term in a linear sequence…
add the common difference
multiply by the common ratio
12.7, 19.2, 25.7, 32.2...
A ______________sequence is a sequence of numbers in which the difference between any two consecutive terms is a constant.
non-linear
linear
