Math, asked by neethus8177, 1 year ago

The sum of three consecutive natural numbers is always divisible by

Answers

Answered by piyush1552
0

Answer:

The sum of three consecutive natural number each divisible by 3 is 72

Answered by mariospartan
0

THE SUM OF 3 CONSECUTIVE NATURAL NUMBERS IS ALWAYS DIVISIBLE BE 3.

Explanation:

  • The consecutive numbers are the numbers which comes after one another, for example 5, 6, and 7.
  • The natural numbers start from one.
  • The sum of 3 consecutive numbers can be written as:

        1st number = n

        2nd number = n + 1

        3rd number = n + 2

        Sum = n + (n + 1) + (n + 2) = 3n + 3 = 3(n + 1)

  • The sum of the three consecutive numbers are a multiple of 3 so, they will be divisible by 3.
  • 1 + 2 + 3 = 6, 6 is divisible by 3.
  • 24 + 25 + 26 = 75, 75 is divisible by 3.
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