1/2+1/6+1/12+1/20=1/2+1/(2*3)+1/(3*4)+1/(4*5)=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)=1-1/5=4/5;
22+21*23 22+(22-1)*(22+1) 22+(22*22-1)
-------------==----------------------------------==-----------------------==1;
21+22*22 21+22*22 21+22*22
3*6*9+3*12*27 3*(1*2*3+1*2^2*3^2)
-----------------===---------------------------==3/2;
2*4*6+2*8*18 2*(1*2*3+1*2^2*3^2)