if you subbed n = 1 into the LHS of the original, you would get 1+t, so yeah the original is wrong.Nope the original is correct. If we subbed in n=1 into the two equations youll see that the original gives us 1 whereas the the t^(n+1) equation would give us (t^1)+1
If you sub in 1 the LHS would be (t+1) -> n is the degree of the highest power of t in the LHS.original gives us 1