1

Part of 2016 Bangladesh Mathematical Olympiad

Problems(1)

Divisible by 6 & 7 not both

Source: Bangladesh National Mathematical Olympiad 2016

2016

Higher Secondary
Problem 1: (a) Show that

n(n + 1)(n + 2)

is divisible by

6

. (b) Show that

1^{2015} + 2^{2015} + 3^{2015} + 4^{2015} + 5^{2015} + 6^{2015}

is divisible by

7

.

Bdmocontestscontest problemnumber theorymodular arithmetic