The course work is about finding all the possible combinations for putting in to pay phones.

Pg1

The course work is about finding all the possible combinations for putting in to pay phones. Using different coins and using those results to try and find a formula that works so you would successfully be able to predict how many coins you would have into the pay phone to find out the next total without going through all the different listings. There are three parts to this coursework, the first two parts are an investigation into specific coins used and after the first two investigations there is a formula that works for whose coins. The third investigation is a more general case. The first two investigations help you with the third.

10p

|There is only 1combination of putting a 10p piece into a pay phone.

10p

20p

For the 20p piece there is 2 combinations of putting a 20p piece into a pay phone.

20p 10p, 10p

pg2

30p there is 3 different combinations

For 30p to go into a pay phone.

10p10p10p 20p10p 10p20p

Pg2

40p

There are 5 different combinations of putting 40p into a pay phone.

10p10p10p10p

20p20p

10p10p10p

20p10p10p

10p20p10p

50p

There are 8 combinations for 50p and they are

10p10p10p10p10p 20p20p10p

20p10p10p10p 20p10p20p

10p20p10p10p 10p20p20p

10p10p20p10p an easy way to do it is to

10p10p10p20p it is to put 20p up every go.

The sequence goes up in a regular pattern this formula shows this pattern and makes it easier to predict the next value. To get the next value you simply get the last two terms and add them together to get the nth term. I will now take my last two terms and add them together. So I would add T4+T5 together.

Therefore pg3

5+8=13

13=T6 ...