Answer to Question #301298 in Combinatorics | Number Theory for hangwy

Question

given that n is a positive even integer, 5n + 4 will always be divisible

A. 5n

B.5

C. 2

D. 4

Answer 1

Let $n=2k,k=1,2,3,...$

Then $5n+4=10k+4=2(5k+2)=2m, m=7,8,9,...$

Therefore $5n + 4$ will always be divisible by $2.$

C. 2