Question

Prove that the product of three consecutive positive integers is divisible by 6.
[CBSE 2010]​

Answer 1

Answer:

Here are a few examples

1×2×3 = 6 which is divisible by 6 hence proved

5×6×7=210 which is also divisible by 6

Answer 2

Answer:

the equation could be

n × (n + 1) × ( n + 2) is divisible by 6

examples:

(i) 1 × 2 × 3 = 6

and 6 ÷ 6 = 1

so it is divisible

(ii) 6 × 7 × 8 = 366

and 366 ÷ 6 = 56

so it is divisible

Step-by-step explanation:

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