" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
= (1+2+3+...+1001) ((1+2+3+...2001)^(2010)- ....)
= 2001 / 2 (2001+1) ((1+2+3+...2001)^(2010)- ....)
= 2001 x 2002 ((1+2+3+...2001)^(2010)- ....) / 2
= 13 x 154 x 2001 ((1+2+3+...2001)^(2010)- ....) / 2
Jelas bahwa 1^(2001) + 2^(2001) + 3^(2001) + ... + 2001^(2001) adalah kelipatan 13.