In fact, just find the rules A diamond with a side length of 1 and an angle of 60 degrees, whose height is the side of the second diamond, is still a diamond with an angle of 60 degrees?

In fact, just find the rules A diamond with a side length of 1 and an angle of 60 degrees, whose height is the side of the second diamond, is still a diamond with an angle of 60 degrees?


The first is 1, the second is root 3 divided by 2, and so on, we can know that the nth is the (n-1) power of root 3 divided by 2



The difficult problem of finding the law of mathematics in grade three of junior high school
Observe the following figures, find out the rules, and complete the unfilled figure in the last triangle: there are several triangles. The first one is 2 on the top, 1 on the left, and 5 on the right. The second one is up-5, left 3, and right-7. The third one is up 0.3, left 5, and right 5.6. The fourth one is up 0.1, left 8, and right 8.2. The last one is up 10, left 20. Please write the method for finding the number on the right


40.
The rule is: the number on the left plus twice the number above equals the number on the right



1/1 1/2 2/2 1/3 2/3 3/3…… What's number 2013?


A:
1/1 、1/2、 2/2、 1/3、 2/3、 3/3、……
law:
1) The denominator is incremented one by one
2) In the case of the same denominator, the numerator is incremented one by one until it is the same as the denominator
So:
When the denominator is n, it has N fractions
Common fraction 1 + 2 + 3 +. + n = (n + 1) n / 2
Let (n + 1) n / 2 = 2013
(n+1)n=4016
N is about 63
When n = 63: (n + 1) n / 2 = 2016 > 2013
When n = 62: (n + 1) n / 2 = 1953