alternating sum of 4th powers
Source:
November 16, 2009
algebrapolynomialquadraticsfunctionFinite Differences
Problem Statement
Compute the value of the expression
2009^4 \minus{} 4 \times 2007^4 \plus{} 6 \times 2005^4 \minus{} 4 \times 2003^4 \plus{} 2001^4 \, .