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# GCSE: Consecutive Numbers

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Word count:
fewer than 1000 (21)
1000-1999 (23)
2000-2999 (8)
3000+ (3)

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1. ## Trimino Maths Coursework

The table below shows the highest number o the trimino and the number of possible triminos. I began by taking the difference of the number of combinations, as shown above. As you can see, I had to take three differences before the differences were constant. This meant that the formula I wanted had to contain a cubic function. During my research prior to this investigation, I discovered the formula: ax3 + bx2 + cx + d = y I believed I could use this formula to help me discover a formula to link the highest number with the number of possible combinations.

• Word count: 415
2. ## Consecutive Sums

You can not make every number as a lot of numbers in the eight times table can not be made such as 8,16,32,40,56,64,80,88,96 so not every number can be made. C) 1 CON NUMBERS 2 CON NUMBERS 3 CON NUMBERS 4 CON NUMBERS 5 CON NUMBERS 1 0 + 1 2 3 1+2 0+1+2 4 5 2+3 6 1+2+3 0+1+2+3 7 3+4 8 ** ** ** ** ** 9 4+5 2+3+4 10 1+2+3+4 11 5+6 0+1+2+3+4+5 12 3+4+5 13 6+7 14 2+3+4+5 15 7+8 4+5+6 1+2+3+4+5 16 ** ** ** ** ** 17 8+9 18 5+6+7 3+4+5+6 19 9+10

• Word count: 666
3. ## A Square Investigation

16 3 9 14 196 19 3 6 15 225 22 3 5 16 256 25 3 6 17 289 28 3 9 18 324 32 4 4 19 361 36 4 1 20 400 40 4 0 21 441 44 4 1 22 484 48 4 4 23 529 52 4 9 24 576 57 5 6 25 625 62 5 5 26 676 67 5 6 27 729 72 5 9 28 784 78 6 4 29 841 84 6 1 30 900 90 6 0 31 961 96 6 1 32 1024 102 6 4 33 1089

• Word count: 1041