Question

determinati nr impare n pentru care n+1|2n+26

Answer 1

n+1 | 2n+26 ⇒ n+1 | 2n+2+24 ⇒ n+1 | 2(n+1) +24 ⇒ n+1 | 24
D24={1,2,3,4,6,8,12,24}
n+1=1, n=0 nu
n+1=2, n=1
n+1=3, n=2 nu
n+1=4, n=3
n+1=6, n=5
n+1=8, n=7
n+1=12, n=11
n={1,3,5,7,11}