turkey-yks 2014 Q6

turkey-yks · Other · lys1-math Number Theory Congruence Reasoning and Parity Arguments
Let $n$ be a positive integer with $n \leq 20$. The sum
$$1 + 2 + 3 + \cdots + n$$
is divisible by 9. Accordingly, what is the sum of the possible values of n?
A) 50
B) 52
C) 56
D) 60
E) 64
Let $n$ be a positive integer with $n \leq 20$. The sum

$$1 + 2 + 3 + \cdots + n$$

is divisible by 9. Accordingly, what is the sum of the possible values of n?\\
A) 50\\
B) 52\\
C) 56\\
D) 60\\
E) 64