Question: 9) Consider the following statement: Statement: The sum of three consecutive integers a, b and c is divisible by three. a) Express the quantied statement

9) Consider the following statement: Statement: The sum of three consecutive integers a, b and c is divisible by three. a) Express the quantied statement using logical symbols. Hint: (Here is the Expanded Statement) For any integers a, b, and c, if a, b, and c are consecutive then their sum is divisible by three. (6 points) b) Prove the statement. (note: three consecutive integers can be written as n, n+1, n+2 for some integer n.)

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