Words
18
Reading
1 min
Listen
Play
7y
I would say you split 1/(x*(x+3))=1/(3*x)-1/(3*(x+3))=1/3*(1/x-1/(x+3)). Now if you sum over these terms everything cancels out except 1/3*(1/1+1/2+1/3)=11/18
I would say you split 1/(x*(x+3))=1/(3*x)-1/(3*(x+3))=1/3*(1/x-1/(x+3)). Now if you sum over these terms everything cancels out except 1/3*(1/1+1/2+1/3)=11/18
RE: Math Contest #24 [2 SBI]