0
Yes.
Choose any three consecutive counting numbers.
The first number is the second number subtract 1
The third number is the second number add 1
Adding the three numbers together is the same as adding:
(the second number subtract one) plus the second number plus (the second number add one).
The "subtract one" and "add one" cancel each other out to leave the sum as:
the second number plus the second number plus the second number
Which is the same as 3 times the second number, ie the sum is a multiple of 3 and so is divisible by 3.
For example:
10 + 11 + 12 = (11 - 1) + 11 + (11 + 1) = 11 - 1 + 11 + 11 + 1 = 11 + 11 + 11 + (1 - 1) = 11 + 11 + 11 + 0 = 11 + 11 + 11 = 3 x 11
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Steve
EzraAdd your answer:
Earn +20 pts
Is the sum of two consecutive numbers always divisible by 2?
No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.
If you take the 3 numbers in any consecutive trio and multiply them together to get a new number that new number will always be a multiple of 6 why is this?
18
Why can't two consecutive whole numbers be prime?
In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.
Sum of three consecutive integers is divisible by three?
yes always this is true' example 1,2,3 sum is 6 and is divisible by 3
What is always the sum of three consecutive whole numbers?
The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.
