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Finding an iterative formula

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by

Mr Mattock

on 26 November 2016

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Transcript of Finding an iterative formula

Finding an iterative formula
Starter
Make x the subject of these formulae:

(a) 3x - 2 = y

(b) 3x - y = 2

(c) 3x - y = 2

(d) 3x - y = 2
Activity
Put the cards together to show the creation of the iterative formulae.
Rearranging to give an iterative formula
'Making x the subject'

x - 2x + 3 = 0
L.O. - Use rearrangement to generate an iterative formula.
2
2
3
Starter
Make x the subject of these formulae:

(a) 3x - 2 = y x =


(b) 3x - y = 2 x =


(c) 3x - y = 2 x =


(d) 3x - y = 2 x =
2
2
3
y + 2
3
y + 2
3
y + 2
3
y + 2
3
2
3
3
Rearranging to give an iterative formula
'Making x the subject'

x - 2x + 3 = 0
3
x = 2x - 3

x = 2x - 3 OR
x = 2x - 3 OR

x = 2x - 3

x
x
3
2
3
2x = x + 3

x = x + 3
2
3
3
Rearranging to give an iterative formula
Show that the equation x - 2x + 4x - 1 = 0 can be rearranged to give the iterative formula:

x =
3
2
1 - 4x
x - 2
n+1
n
n
Rearranging to give an iterative formula
Show that the equation x - 2x + 4x - 1 = 0 can be rearranged to give the iterative formula:

x =
3
2
1 - 4x
x - 2
n+1
n
n
x - 2x = 1 - 4x
x (x - 2) = 1 - 4x

x = x =
1 - 4x
x - 2
2
1 - 4x
x - 2
2
2
3
Activity
Complete the jigsaw to match the equation to the correct iterative formulae.
Activity
Complete the jigsaw to match the equation to the correct iterative formulae.
Activity
Answers

Activities
Key
Examples

Worked
Example

Worked
Example
Full transcript