Three Consecutive Integers II

The cool thing about Three Consecutive Integers is the properties we discussed before (see the previous entry in the Quant Mountain) apply even if you have Three Consecutive EVEN Integers, or Three Consecutive ODD integers, or Three Consecutive MULTIPLES of 5, etc. As long as you have three consecutive something, the sum and product will both be multiples of $3$, guaranfrickin'teed.

Adding Three Consecutive Multiples of $7$

$$14 + 21 + 28 = 63$$

Notice that $63$ is indeed a multiple of $3$.

Multiplying Three Consecutive Multiples of $4$

$$12 \times 16 \times 20=3,840$$

Notice that the product is indeed a multiple of $3$.