Use Mathematical Induction to prove equation? Use mathematical induction to prove each of the following statements.
let $$g(n) = 1^3 + 2^3 + 3^3 + ... + n^3$$
Show that the function $$g(n)= \frac{n^2(n+1)^2}{4}$$ for all n in N
so the base case is just g(1) right? so the answer for the base case is 1, because 4/4 = 1
then for g(2) is it replace all of the n's with n + 1 and see if there is a concrete answer?

Hint: Think of what you are supposed to prove: That a property $P(n)$ is true for every natural number. 
A proof by induction essentially proves that the property $P(n)$ holds for the first natural number and is preserved, as we count upwards.
In this case the property $P(n)$ is 
$$P(n) \text{ is true if } g(n) = \frac{n^2(n+1)^2}{4}$$
The base case consists of proving that the property $P(1)$ is true, that is, that
$$g(1) = \frac{1^2(1+1)^2}{4}$$
In the inductive step you must prove that if $P(n)$ is true, then so is $P(n+1)$.
Now what does it mean that $P(n+1)$ is true?
