Related GCSE Number Stairs, Grids and Sequences essays

1. 

   Mathematics Coursework: problem solving tasks

   3 star(s)

   4 4 T 6 8 10 12 14 16 = 3n + 4 4 L 4 4 4 4 4 4 = 4 4 + 0 3 6 9 12 15 = 3n - 3 4 Total 10 15 20 25 30 35 = 5n + 5 5 T 8

2. 

   GCSE Maths Sequences Coursework

   1) 12+2b+c=7 2) 27+3b+c=19 2-1 is 15+b=12 b=-3 To find c: 12-6+c=7 c=1 Nth term for Unshaded = 3n�-3n+1 Total Total is equal to Shaded plus Unshaded so; 6N + 3n�-3n+1 3n�+3n+1 Nth term for Total = 3n�+3n+1 Predictions The formulae I have found are: Perimeter 12N+6 Shaded Squares 6N Unshaded Squares 3n�-3n+1

1. 

   Number stairs

   + (x+n+2) + (x+n+3) + (x+1) + (x+2) + (x+3) + (x+4) I can simplify this down to: T= 15x + 20 (n+1) T= The total value of the 5-step stairs X= The bottom left hand corner stair number so in this case X=41 X= is the number of the squares in the 5-step stair To prove my

2. 

   algebra coursework

   12+ (2-1) = 13 Z + 10(X-1) = 22 (bottom left number) 12 +10(2-1) = 22 Z+11(X-1) = 23 (bottom right number) 12+11(2-1) = 23 Z + 11 (X-1) = Z + 11X - 11 (bottom right number) Z (Z +11X -11) = Z� + 11XZ - 11Z Z + 10(X-1)

1. 

   Staircase Coursework

   In this case step 10 which gives me. 10+11+12+16+17+22 = 8 And now compare it with the result I get when I use the formula, and insert n= 10 which gives me 6x10 + 28 = 88 So the formula is correct 3 step stair in a variable grid I've

2. 

   For other 3-step stairs, investigate the relationship between the stair total and the position ...

   The results are conclusive and consistent, proving the theory to be accurate and reliable. Using any of the algebra equation from the above table, e.g. 10x-90 or 10x-110 we can prove the results for any 4-step grid: 21 Formula: 10x- 90 31 32 1: 10 x 51 - 90= 420

1. 

   Number Stairs

   This is for the 8x8 grid with the stair number 1. Stair number= 2 Whereas the stair total= 2+3+4+10+11+18 = 48 = T Stair number=3 Whereas the stair total= 3+4+5+11+12+19= 54 = T The following table shows the stair total (T)

2. 

   Mathematical Coursework: 3-step stairs

   The criterion of why I haven't explained what B stands for is because I haven't found it yet. Nevertheless using the annotated notes on the formula my formula would look like this now: > 6N =6n x 1= 6 > 6+b=50 Now I would need to find the value of b in order to use my formula in future calculations.