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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.

 Jul 15, 2024
 #1
avatar+1804 
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Since we have \(a \equiv 5 \pmod{7}\), then we have

\(a + 1 \equiv 5+1 \pmod{7}\)

 

So 6 is the answer. 

 Jul 15, 2024

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