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