2 years ago

Prove that the sum of three successive even integers is always a multiple of 6.

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Answer:

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Step-by-step explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.

You might be interested in

which is a correct verbal expression for 9+n A: n more than 9 B: the quotient of 9 and n C: the product of 9 and n D:9 less than

Anton [14]

Your answer is A: n is more than 9. I hope I helped!☺☺

4 0

2 years ago

Read 2 more answers

Please help and thanks <br> Choose the correct answer <br> 2x>12x and 7x<14

34kurt

Answer:

C - x < -6 and x < 2

Step-by-step explanation:

2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!

6 0

2 years ago

In general. A clock that is 3 seconds slow but keeps consistent time will be more accurate than a clock that loses 1 second ever

Pani-rosa [81]

True.

If the clock loses 1 second every hour that passes then after 4 hours it will be 4 seconds off, 5 hours will be 5 seconds off, etc. It would continue and turn into minutes and hours off.

4 0

2 years ago

Please help me ----------------

Brut [27]

Answer:

C = 43.98 in

Step-by-step explanation:

Radius = 7

C / d = pi

C = pi * d

C = pi * 14

7 0

2 years ago

If / and / are midsegments of , what can you conclude about / and /? Verify your results by finding x when QR = 3x + 2 and NP =

Ad libitum [116K]

Midsegments are line segments that connect the midpoints of a triangle. If we have the condition that QR = NP, we have the equation
3x + 2 = 2x + 16
Solving for x
3x - 2x = 16 - 2
x = 14
Therefore, x is 14. <span />

8 0

2 years ago

Prove that the sum of three successive even integers is always a multiple of 6.​

Prove that the sum of three successive even integers is always a multiple of 6.