Let Q(n)=∑k=0nk4−∑k=0n−1k4Q(n) = \sum_{k=0}^{n} k^4 - \sum_{k=0}^{n-1} k^4Q(n)=∑k=0nk4−∑k=0n−1k4 where nnn is a positive integer.
Find Q(2)Q(2)Q(2) and Q(5)Q(5)Q(5).
Solve the equation Q(n)=2.56×1010Q(n) = 2.56 \times 10^{10}Q(n)=2.56×1010.
