I would like a demonstration of the fact below.
Being given real numbers a and b (nonzero) and a positive integer n, the order p, that occupies the maximum term (in absolute value) of the development of power (a+b)^ n, according to decreasing powers of a is given by:
p = 1 + integer part of [|b|(n+1)/(|a|+|b|)]
When n is integer, there are maximum two terms: those of order p and p-1.
|a| and |b| are the modules of the numbers a and b, respectively.
Already, very grateful.
Rio de Janeiro, Brazil