Repeating a process.

Some questions can be answered by getting closer and closer using the same process each time.

Example: to find a Square Root:

a) start with a guess

b) divide by the guess

c) add that to the guess

d) halve that for the new guess

e) now repeat (iterate) from step (b)

For the square root of 10, starting with a guess of 4 we get:

• 4

• 3.25

• 3.163

• 3.1623

etc...

Some questions can be answered by getting closer and closer using the same process each time.

Example: to find a Square Root:

a) start with a guess

b) divide by the guess

c) add that to the guess

d) halve that for the new guess

e) now repeat (iterate) from step (b)

For the square root of 10, starting with a guess of 4 we get:

• 4

• 3.25

• 3.163

• 3.1623

etc...

See: Iteration

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