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

GSCE COURSEWORK PART 1 Random Sample I pull 5 3-step steps each(prenominal) of them were the same size, unless they differed in position. Comment: 1) Notice how all the corresponds argon even 2) The totals increase the higher(prenominal) up the control storage-battery power system you go 3) Across goes up or so 42 (92-50) 4) Up goes up about 420 (470-50) Systematic Sample I drew 5 stairs all on the bottom line waiver crossways, I did this to construe if in that respect was a designing. Comment: T present is understandably a pattern here; the totals argon increasing by 6, we call this a analog sequence. From this data I predict that the next total bequeath 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 thither 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 hold in changed the grids to see whether or not in that respect is a pattern. I kept the shape touch on as one all the clip. I have through with(predicate) 5, 6,7and 8 grids. There is clearly a pattern here; the totals are increasing by 4; so each era 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 want to get a mount essay, order it on our website: Ordercustompaper.com

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