Choose the main technique to prove the following statement:
For every integer m , m(m+1)(m+2) is an integer multiple of 3.

Question

Choose the main technique to prove the following statement: 
 For every integer   m ,   m(m+1)(m+2)  is an integer multiple of 3.

Answer

T5: Proof by cases to show    \displaystyle \left(\left(\bigvee_{i=1}^n p_i ight) 	o q ight) \equiv T

Answer

T6: Constructive proof to show   \exists x P(x) \equiv T

Answer

T7: Two-step proof to show   \exists ! x P(x) \equiv T

Answer

T1: Direct proof to show   (p 	o q) \equiv T

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