Using
with
find the values of , and
Explain the relationship between the values of and and the equation
Did this page help you?
Using
with
find the values of , and
Explain the relationship between the values of and and the equation
Did this page help you?
A sequence of numbers is formed by the iterative process
Work out the values of and
Did this page help you?
An approximate solution to an equation is found using the iterative formula
= with
Work out the values of and
= ......................
= ......................
Work out the solution to 5 decimal places.
= ......................
Did this page help you?
An approximate solution to an equation is found using this iterative process.
and
Work out the values of and
= ........................
= .........................
Work out the solution to 6 decimal places.
= .......................
Did this page help you?
Use the formula with x1 = 2 to calculate x2 and x3.
Round your answers correct to 4 decimal places.
x2 = ............. and x3 = ................
Did this page help you?
Show that the equation has a solution between and
Show that the equation can be rearranged to give
Starting with
use the iteration formula three times to find an estimate for a solution of
Did this page help you?
Show that the equation has a solution between and
Show that the equation can be arranged to give
Starting with , use the iteration formula twice ,
to find an estimate for the solution of
Did this page help you?
Show that the equation can be rearranged to give
Using
with
find the values of and
Explain what the values of and represent.
Did this page help you?
A sphere has radius cm
An approximate value of can be found using the iterative formula
The starting value is
Work out the values of and
Continue the iteration to work out the radius to 1 decimal place.
................................................. cm
Did this page help you?
Use a starting value of to work out a solution to
Give your answer to 3 decimal places.
Did this page help you?
Show that the equation has a solution between and
Show that the equation can be arranged to give
Starting with , use the iteration formula three times to find an estimate for the solution of
By substituting your answer to part (c) into
comment on the accuracy of your estimate for the solution to
Did this page help you?
The number of bees in a beehive at the start of year is
The number of bees in the beehive at the start of the following year is given by
At the start of 2015 there were 9500 bees in the beehive.
How many bees will there be in the beehive at the start of 2018?
Did this page help you?
The number of slugs in a garden days from now is where
Work out the number of slugs in the garden days from now.
Did this page help you?
At the start of year , the number of animals in a population is
At the start of the following year, the number of animals in the population is , where
At the start of 2017 the number of animals in the population was 4000
At the start of 2019 the number of animals in the population was 3610
Find the value of the constant .
Did this page help you?
Use the iteration formula to find the values of , and
Start with
.
.
The values of , and found part (a) are estimates of the solution of an equation of the form where and are integers.
Find the value of and the value of .
.
Did this page help you?
The number of rabbits on a farm at the end of month is
The number of rabbits at the end of the next month is given by
At the end of March there are 200 rabbits on the farm.
Work out how many rabbits there will be on the farm at the end of June.
Considering your results in part (a), suggest what will happen to the number of rabbits on the farm after a long time.
Did this page help you?