Question

Tính tổng A=1.2.3+2.3.4+4.5.6+5.6.7+...+2014.2015.2016

Answer 1

4A= 4.( 1.2.3+2.3.4+4.5.6+5.6.7+...+2014.2015.2016

4A= 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + .4.5.6.4 + ....+ 2014.2015.2016.4

4A= 1.2.3.4 + 2.3.4.(5 - 1)+ 3.4.5.( 6-2)+.....+ 2014.2015.2016.(2017-2013)

4A= 1.2.3.4+  2.3.4.5-1.2.3.4.+  3.4.5.6-2.3.4.5+ .....+ 2014.2015.2016.2017-2013.2014.2015.2016

4A = 2013.2014.2015.2016

A = 4117265071920