that means you're using tk and tk-1
saying tk+1 automatically corresponds to nCk+1
anyway I happened to post in the Binomial Theorem Q thread, quoted below:
well, suppose it turns out that T_(k+1) / T_k > 1 when k < 4.2
so, T_(k+1) is bigger than T_k up to k = 4
and the biggest term is...