Let n and k be positive integers such that n<106 and (1313)+(1413)+(1513)+⋯+(5213)+(5313)+(5413)=(nk) What is the ordered pair (n, k)?
Using the hockey stick identity54∑n=13(n13)=(54+113+1)=(5514)
https://en.wikipedia.org/wiki/Hockey-stick_identity
oh that makes sense to use the hockey stick identity. Thanks for the help!!
That's not an ordered pair though.
The ordered pair would be (55, 14)