• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

The investigation of coin combinations

Extracts from this document...


The investigation of coin combinations In this investigation we had to try and find out all the different ways of paying for phone calls with different value coins. We started off with 10p and 20p's and worked out all the combinations using them to make a pound. ...read more.


I got this table of results. As you can see there is no pattern that is because these results follow the Fabernacci sequence where the previous 2 values e.g 5+8 added together equal the next value, 13. With this in mind you can predict that the next value will be 55+89=144 To see if other values of coins did this I tried it with 10p and 30p's. ...read more.


This is the graph I came up with as you can see It doesn't follow a set pattern, only the 10p 20p combinations follow the Fibernacci sequence the rest seem to be irregular. I did not manage to find an nth term for any of the coin combinations but you can use the graph to find out values. That proves that there is a linear equation the equals the corresponding line on the graph but I have been unable to find it. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Pay Phone Problem section.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Pay Phone Problem essays

  1. Were coins used in the Roman Empire more for propaganda purposes or as a ...

    The reverse side of this coin shows Nero on horseback with a companion prancing to the right and the obverse side shows Nero's head wearing an aegis13. The aegis is used to show power, as it represents a sign of bravery. The aegis is a sign of protection from dangers.

  2. The Pay Phone Problem

    20 10 20 20 20 20 10 20 20 20 20 10 There are 21 combinations for 70p Now I have collected all my results I shall make a results table. Results Table N T Amount No. of Ways 10 1 20 2 30 3 40 5 50 8 60

  1. PAYPHONE. The woman is going to make a phone call costing any multiple of ...

    Prediction for graph I will try to find out the next value for the no of ways for �1.20. I predict that would have about 11 ways Graph This graph suggests that �1.20 will have 11 ways Table Amount of money Ways of putting it in (not in order No of ways to put it in (not in order)

  2. Parachute Investigation.

    Although all objects fall at this rate, they all have what is known as a terminal velocity. As the object is falling, the air friction pushes against it, and tries to slow it down. As it speeds up, the air friction gets greater and greater, until it reaches a point where the object cannot accelerate any more.

  1. Mystery investigation

    Everything seems to be misplaced. The ashtray on the table is filled with cigarette ash & I tell myself that I will empty it tonight, just as soon as I get in. Somehow I have a feeling tonight will not be the night to remember to do domestic chores; but I will try.

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

    predict this because Tn-1= 15 and Tn-5 = 5 so 15 +5 = 20. To prove this, here are all the listings for 1.30 10p10p10p10p10p10p10p10p10p10p10p10p 10p 10p10p10p10p10p10p10p10p50p 10p10p10p10p10p10p10p50p10p 10p10p10p10p10p10p50p10p10p 10p10p10p10p10p50p10p10p10p 10p10p10p10p50p10p10p10p10p 10p10p10p50p10p10p10p10p10p 10p10p50p10p10p10p10p10p10p 10p50p10p10p10p10p10p10p10p 50p10p10p10p10p10p10p10p10p 50p10p10p10p50p 10p50p10p10p50p 10p50p10p50p10p 10p10p50p10p50p 10p50p10p10p50p 10p10p10p50p50p 50p50p10p10p10p 10p10p50p50p10p 50p10p50p10p10p 10p50p50p10p10p There are 20 sequences that prove that my formula is correct.

  1. Algebra Coursework (payphone problem).

    T1 40p 40 1 T2 50p - - T3 60p 30,30 1 T4 70p 30,4040,30 2 T5 = T2+T1 80p 40,40 1 T6 = T3+T2 90p 30,30,30 1 T7 = T4+T3 I am going to test the General Rule for (30p,np)

  2. Arrian, The Anabasis of Alexander, together with the Indica, E

    of it by the Persians, and still earlier the Assyrians by the Medes. 7. Darius crossed the mountain range by what are called the Amanic Gates, and advancing towards Issus, came without being noticed to the rear of Alexander. Having reached Issus, he captured as many of the Macedonians as had been left behind there on account of illness.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work