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OK so this was one of the most easiest questions once you understand what a decimal expansion is. (PS .don't go on Google to search up what it is.) OK so basically what it is is like a repeating pattern. if you enter 1/7 in a calculator you would get 0.142857. then and expansion would be 142857 repeating on and on and on. here's the easy part. now i divided 2014 by 6 because that's how many different Numbers there are and that got me 335.6666666666667 tells me each number appears 335 times and some extra. so i tried to round the 335 with 6. OK so now that got me 2010. this meant that the first number when multiplied 335 time would be the 2010 term this meant that if i skip 4 numbers after it i would get 5
Okay. You said that 6 represents how many different numbers there are, but where did you skip 4 numbers? What number was the point of "origin" or where you started counting from?
***We first noted that for every 6th term, the number will always be 7.
To find the 2014th term, we divided 2014 by 6. 2014 / 6 = 335.666666667 Rounded = 335
By dividing it by 6, we could either find the answer or a number close to it. Since the quotient was a decimal, we rounded it. If we multiply 335 by 6, the product is 2010.
335 represents how many **"TIMES"** the 6th term occurred in the pattern, NOT the term. Regardless of how many times the 6th term took place, the number would always be 7.
From this, we now know that the 2010th TERM is 7. We're getting closer! To find the 2014th term, we simply added, started from the first term, 1, which came after 7.
OK so this was one of the most easiest questions once you understand what a decimal expansion is. (PS .don't go on Google to search up what it is.) OK so basically what it is is like a repeating pattern. if you enter 1/7 in a calculator you would get 0.142857. then and expansion would be 142857 repeating on and on and on. here's the easy part. now i divided 2014 by 6 because that's how many different Numbers there are and that got me 335.6666666666667 tells me each number appears 335 times and some extra. so i tried to round the 335 with 6. OK so now that got me 2010. this meant that the first number when multiplied 335 time would be the 2010 term this meant that if i skip 4 numbers after it i would get 5
ReplyDeleteso i think that 5 is the answer.
that's my 2 cents jatin
Okay. You said that 6 represents how many different numbers there are, but where did you skip 4 numbers? What number was the point of "origin" or where you started counting from?
DeleteThanks.
My sister and I did this together
ReplyDelete***We first noted that for every 6th term, the number will always be 7.
To find the 2014th term, we divided 2014 by 6. 2014 / 6 = 335.666666667
Rounded = 335
By dividing it by 6, we could either find the answer or a number close to it. Since the quotient was a decimal, we rounded it. If we multiply 335 by 6, the product is 2010.
335 represents how many **"TIMES"** the 6th term occurred in the pattern, NOT the term. Regardless of how many times the 6th term took place, the number would always be 7.
From this, we now know that the 2010th TERM is 7. We're getting closer! To find the 2014th term, we simply added, started from the first term, 1, which came after 7.
Using these steps, the 2014th term is 8.
7 (2010) , 1 (2011) , 4 (2012) , 2 (2013) , 8 (2014)
GO CANADA! har har har
- Jonathan and Rachel
the 2014th number is 8 or a red square. 2014/6 gets you 335 remainder 4. the fourth number is an 8.
ReplyDeleteExcellent explanations. The correct answer is in fact 8.
ReplyDelete