Pattern Problem #3

Find the next number in the sequence (If the answer is 111.11, round to nearest 1):

-0.142857142857

-0.285714285714

-0.428571428571

-0.571428571429

-0.714285714286

-0.857142857143

-???????????????


The answer is 1.

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2 solutions

Saurabh Mallik
May 15, 2014

We know that:

1 7 = 0.14285714..... \frac{1}{7}=0.14285714.....

2 7 = 0.28571428..... \frac{2}{7}=0.28571428.....

3 7 = 0.42857142..... \frac{3}{7}=0.42857142.....

and so on.

The above pattern follows:

1 7 , 2 7 , 3 7 , 4 7 , 5 7 , 6 7 , 7 7 -\frac{1}{7},-\frac{2}{7},-\frac{3}{7},-\frac{4}{7},-\frac{5}{7},-\frac{6}{7},-\frac{7}{7}

So, the 7 t h 7^{th} term of the pattern is: 7 7 = 1 \frac{7}{7}=\boxed{1}

-7/7 = -1 not 1

Guiseppi Butel - 7 years ago
Elijah Chew
May 15, 2014

The numbers are: 1 / 7 , 2 / 7 , 3 / 7 , 4 / 7 , 5 / 7 1/7, 2/7, 3/7, 4/7, 5/7 and 6 / 7 6/7 in that order.

Hence the next number is 7 / 7 = 1 7/7=1

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