Mathematics coursework- explaining the relationship of the 3-step stair

GSCE COURSEWORK PART 1 Random Sample I displace 5 3-step steps all of them were the same size, unless they differed in position. Comment: 1) Notice how all the corresponds be even 2) The totals increase the higher(prenominal) up the control control gridiron you go 3) Across goes up closely 42 (92-50) 4) Up goes up about 420 (470-50) Systematic Sample I drew 5 stairs all on the bottom line termination across, I did this to empathize if in that respect was a designing. Comment: T here(predicate) is clear a pattern here; the totals atomic number 18 increasing by 6, we call this a unidimensional sequence. From this data I ring that the next total go away be 80 and the eighth will be 92. Both my predictions were correct. Algebraic Expression I drew 1 stair with Algebra on it. Total: (x)+(x+1) +(x+2) +(x+10) +(x+11) +(x+20) = 6X+44 Comment: The reason its 6x is because on that point argon 6 stairs (x+x+x+x+x+x) Its 44 because the totals across for these stairs are 4 across and 40 upwards.

4: 1+1+2=4 1: This 1 came from the 11, because you go 1 across from the 10 to get 11 40: 20+10+10=40 10: This 10 came from the 11, because you go 10 up from the 1 to get 11 PART 2 I claim changed the grids to see whether or not at that place is a pattern. I unbroken the shape touch on as one all the clip. I have done 5, 6,7and 8 grids. There is clearly a pattern here; the totals are increasing by 4; so each clipping I increase the grid size by 1 the total increases by 4, there is a common difference. From this information I predict that the 9th grid will have a total of 46. Results: My prediction was correct. Algebraic Expression I have drawn a 3-step stair... If you insufficiency to get a plentiful essay, order it on our website: Orderessay

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