8 \(\quad \mathrm { P } ( n ) = \sum _ { k = 0 } ^ { n } k ^ { 3 } - \sum _ { k = 0 } ^ { n - 1 } k ^ { 3 }\) where \(n\) is a positive integer.
8
- Find \(\mathrm { P } ( 3 )\) and \(\mathrm { P } ( 10 )\)
8 - Solve the equation \(\mathrm { P } ( n ) = 1.25 \times 10 ^ { 8 }\)