Sequences

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 ?

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