Answer:
Let the 5 consecutive numbers be x, x + 1, x + 2, x + 3 and x + 4.
The sum of the 5 consecutive numbers,
x + x + 1 + x + 2 + x + 3 + x + 4
= x + x + x + x + x + 1 + 2 + 3 + 4
= 5x + 10
To prove : -
The sum of any 5 consecutive natural numbers is divisible by 5.
Proof : -
( 5x + 10 ) / 5
= ( 5x / 5 ) + ( 10 / 5 )
= x + 2
Hence proved.
Therefore,
The sum of any 5 consecutive natural numbers is divisible by 5.
