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Why is the sum of any 3 consecutive even numbers is a multiple of 6?
Wiki User
∙ 14y ago
Call the lowest number n, then any three consecutive even numbers will be n, n + 2 and n + 4 which total 3n + 6, the equivalent of 6 x (n/2 + 1). As n is by definition an even number, n/2 is a whole number and the sum is therefore 6 times (a whole number plus 1, where the whole number is half of the lowest of the three starting numbers). eg sum of 14 + 16 + 18 = 6 x (14/2 + 1) ie 6 x 8 ie 48, which it is.
Wiki User
∙ 14y ago
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What is the difference between any two consecutive even number?
This is a list of even numbers: 8, 2, 4, 6, ... This is a list of consecutive even numbers: 2, 4, 6, 8, .... The difference between any two consecutive even numbers is: 4-2=2 or 8-6=2 or 6-4=2 or ... The difference between any two consecutive even numbers is 2
Three consecutive numbers that add up to a multiple of three?
EVERY three consecutive numbers add to a multiple of 3: Proof: numbers are n, n + 1 and n + 2. The total is 3n + 3 or 3(n + 1) This means that for any three consecutive numbers, the total is 3 times the middle number.
Examples of consecutive numbers?
Consecutive NumbersDefinition of Consecutive NumbersThe integer numbers, one after the other, are known as Consecutive Numbers.More about Consecutive NumbersThe difference between any two consecutive integers is 1.Out of any two consecutive numbers, one must be even and one must be odd.Example of Consecutive Numbers19, 20, 21…..are consecutive integers.The consecutive odd numbers between 0 and 10 are 1, 3, 5, 7, and 9.Solved Example on Consecutive NumbersFind out the addition of consecutive even numbers between 15 and 25.Choices:A. 98B. 100C. 90D. 110Correct Answer: BSolution:Step 1: Consecutive numbers are those that follow each other in an unbroken sequence.Step 2: Between 15 and 25, the even numbers are 16, 18, 20, 22, and 24. [Numbers which are divisible by 2 are called even numbers.]Step 3: Sum = 16 + 18 + 20 + 22 + 24Step 4: = 100Step 5: Hence, the addition of consecutive even numbers between 15 and 25 are 100.Related Terms for Consecutive NumbersIntegerNumber
What 2 consecutive numbers add up to 42?
44
What are four consecutive numbers that add up to 268?
There are no such numbers. If S is the sum of any 4 consecutive integers then S = 2 (mod 4) In other words, any four consecutive integers add up to an even number that is NOT dvisible by 4.
Is it true that the product of any two consecutive numbers is even?
YES. The product of any two consecutive numbers is even because their product is always a multiple of 2.Examples:2 * 3 = 63 * 4 = 12
What numbers have a prime gcf?
Any consecutive even numbers.
What are consecutive even or odd integers?
Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.
What 3 consecutive numbers add up to 76?
79
Which are the Consecutive Numbers Whose Sum Is 22?
Any pair of consecutive numbers will have an odd total. 10 and 12 are consecutive even numbers that total 22.
What is the difference between any two consecutive even number?
This is a list of even numbers: 8, 2, 4, 6, ... This is a list of consecutive even numbers: 2, 4, 6, 8, .... The difference between any two consecutive even numbers is: 4-2=2 or 8-6=2 or 6-4=2 or ... The difference between any two consecutive even numbers is 2
What is the ones digit of the product of 5 consecutive natural numbers?
Zero. Any five consecutive natural numbers will contain at least one multiple of 2 and at least one multiple of 5, meaning that the product will be a multiple of 10.
What are two consecutive positive even integers of 340?
There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.
Why when every three consecutive number are being multiplied it gives you an answer which is an even number?
Any two consecutive numbers must comprise one odd and one even number, so their product must be even. Any three consecutive numbers must include two consecutive numbers so the result still applies.
What two consecutive numbers make up 420?
I am not sure if any two consecutive numbers can add up to an even number.
Which pare of numbers has a greatest common factor of 2?
Any consecutive even numbers.
What pair of numbers has a great common factor of 2?
Any consecutive even numbers.
