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Mathematics coursework- explaining the relationship of the 3-step stair
Title: Mathematics coursework- explaining the relationship of the 3-step stair
Category: Business & Economy
Details: Words: 1434 | Pages: 6.1 (approximately 235 words/page)
Mathematics coursework- explaining the relationship of the 3-step stair
GSCE COURSEWORK
PART 1
Random Sample
I drew 5 3-step stairs all of them were the same size, but they differed in position.
Comment:
1) Notice how all the totals are even
2) The totals increase the higher up the grid you go
3) Across goes up about 42 (92-50)
4) Up goes up about 420 (470-50)
Systematic Sample
I drew 5 stairs all on the bottom line going across, I did this to see if there was a pattern.
Comment:
There is clearly a pattern …showed first 75 words of 1434 total…
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…showed last 75 words of 1434 total…My formula works for the 3-step stairs.
I will do the same, but this time for a 7 step stairs:
[7(7+1)]/2 x + [7(7+1) (7-1)]/6 g + [7(7+1) (7-1)]/6 which equals:
28x+56g+56
Clearly my formula works, through the use of algebra and my insight into the relationships of series and triangle numbers I was able to achieve this. I needed to use a variety of methods and techniques to complete the universal formula, always linking it back with previous formulas and tables.
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