1+2+3+...+n=n(n+ 1)/2
1/( 1+2+3+..+n)= 2/[n(n+ 1)]= 2[ 1/n- 1/(n+ 1)]
1+ 1/( 1+2)+ 1/( 1+2+3)+ 1/( 1+2+3+4)+……+ 1/( 1+2+3+4+……+ 100)
=2[ 1- 1/2+ 1/2- 1/3+ 1/3-+ 1/ 100- 1/ 10 1]
=2* 100/ 10 1
=200/ 10 1
Calculation formula of common geometry in primary school mathematics
1, perimeter of rectangle = (length+width) x2C=(a+b)x2.
2. The circumference of a square = the side length x4C=4a.
3. area of rectangle = length x width S=ab
4. Area of square = side length x side length S = axa = square.
5. Area of triangle = base x height +2S=ah+2.
6. area of parallelogram = bottom x height S=ah
7. Trapezoidal area = (upper bottom+lower bottom) x height +2S=(a+b)h+2.