Problema Solution
prove that the sum of any 5 consecutive natural numbers is divisible by 5
Answer provided by our tutors
5 consecutive natural numbers can be written as:
x, x+1, x+2, x+3, x+4, where x is natural number
The sum is:
x + (x+1)+(x+2)+(x+3)+(x+4) = 5x + 10 = 5(x + 2)
Since 5(x + 2) is divisible by 5 so is the sum of the 5 consecutive natural numbers.