a) Show that the sum of 11 consecutive integers is always divisible by 11.

b) Show that the sum of 12 consecutive integers is never divisible by 12.

CorbellaB.15 Apr 10, 2019

#1**+2 **

a): Label the integers: \(x-5, x-4, x-3, x-2, x-1, x, x+1, x+2, x+3, x+4, x+5=11x\) . And, this number is a multiple of \(11\) , so it is definitely divisible by \(11.\)

Try the second one on your own!

tertre Apr 10, 2019