Let $a$ be an integer such that $a \equiv 5 \pmod{7}$. Find the value of $a + 1 \pmod{7}$. Express your answer as a residue between $0$ and the modulus.
\(a \equiv 5 \pmod{7}\\ a+1\equiv 5+1 \pmod7\\ a+1 \equiv 6 \pmod7\)
6 is the answer
+1222 
