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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 26, 2024
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\(a \equiv 5 \pmod{7}\\ a+1\equiv 5+1 \pmod7\\ a+1 \equiv 6 \pmod7\)

 

6 is the answer

 Jul 26, 2024
edited by BRAINBOLT  Jul 26, 2024

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