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2 votes
2 votes
Proves that the sum of
5 consecutive natural numbers is divisible by 5 ​

User Marcel Toth
by
3.1k points

2 Answers

16 votes
16 votes

Answer:

Natural numbers are simply positive integers. For now, refer to the middle number (the third number), as x. Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2. Simply add all these numbers to get 5x, a number that is divisible by 5. As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

User Dan Loewenherz
by
2.7k points
17 votes
17 votes

Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Explanation:

User Ransaka Ravihara
by
2.9k points
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