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.
The answer is \(a \equiv 5 \pmod{7}\), and we have
\(a + 1 \equiv 5+1 \pmod{7}\)
So 6 is our answer.
+2669 
