# Thread: Solve for A and B

1. ## Solve for A and B

Solve for A and B if:

1/(k*(k+1)) = A/k + B/(k+1)

Thanks

2. Multiply by $k$: $\displaystyle\frac{1}{k+1}=A+\frac{Bk}{k+1}$.
Put $k=0$: we get $1=A$

Now, multiply the first equality by $k+1$: $\displaystyle\frac{1}{k}=\frac{A(k+1)}{k}+B$.
Put $k=-1$: we get $-1=B$