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# Finding an iterative formula

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## 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