Question

The product of three consecutive numbers is always divisible by 6. Verify this statement
with the help of some example and The sum of two consecutive odd numbers is divisible by 4. Verify this statement with
the help of some examples.​

Answer 1

Answer:

Step-by-step explanation: example

1) 2*3*4=24

2)5*6*7=210

3)1*2*3=6

so, it can be seen that all the numbers are divisible by 6

Answer 2

Answer

Among the three consecutive numbers, there must be one even number and one multiple of 3.  Thus, the product must be multiple of 6.

Step-by-step explanation:

Example:

(i) 2 x 3 x 4 = 24

2 & 4 are even numbers

3 is the multiple of 3

(ii) 4 x 5 x 6 = 120

4 & 6 are even numbers

6 is the multiple of 3