Question

Sum of ‘n’ odd number of consecutive numbers is divisible by ‘n’. Explain the reason.

Answer 1

it's an law

eg for this as
n=3 ; odd number as 3; 5; 7; 11

3×3÷3==9÷3=3
3×5÷3==15÷3=5

Answer 2

Answer:

Step-by-step explanation:

Given that 'n' odd number of consecutive numbers are divisible by n.

Formula: 2n(2n-1)/2

Here 2 gets cancelled

Now: n(2n-1)

If any number is multiplied by a number, Then that number is divisible same number.