$\displaystyle \sum^4_{j=1} \frac {j}{j+1} $

The question is....rewrite this summation so the index variable is k and the starting value is 5

so. j = 1, k = 5....so j = k -4

So plugging these in I come up with:

$\displaystyle \sum^8_{k=5} \frac {k-4}{k+5} $

Is this correct?