Given any two polynomials in a single variable it is always
possible to eliminate the variable and obtain a formula showing the
relationship between the two polynomials.
a(n)
=
1 + 2 + 3 + ... + n
b(n)
=
12 + 22 + 32 + ... + n2
c(n)
=
13 + 23 + 33 + ...? + n3.
It is well known that c = a 2. What are the
relationships between a and b and between b and c?