Proof Error: Missing Link at n^4 Term

[Link]

What is wrong with this proof? There seems to be a missing link at the n^4 term, even though values of n up to 134 are true!

http://www.geocities.com/jake_lloyd007/ind.jpg

 

[Kristi]

without seeing it all souldn't the answers to each line read as follows:

n+6n+11n+6n

n+10n+35n+50n+24n

n+11n+41n+61n+30n (if you add the two lines above together)

 

[HallsofIvy]

1. You haven't told us what you are trying to prove!

2. What you posted makes no sense! In the last line, there appears to be no n on the left side, yet the right side depends on n.

 

[Link]

I am trying to preform a proof by induction that for any positive number n,

1 x 2 x 3 x 4 + 2 x 3 x 4 x 5 + ...+ n (n+1)(n+2)(n+3)(n+4)

= n^4 + 6n^3 + 11n^2 + 6n

So in the image just consider the k as n.

It's a polynomial with a pretty long expansion, but I have checked and rechecked and if there is an error, I can't find one. Yet it can't be proven?