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ArbitrLikvidat [17]
2 years ago
10

For which k is it true that the sum of k consecutive integers is always divisible by k?

Mathematics
1 answer:
nevsk [136]2 years ago
5 0

Answer:

Step-by-step explanation:

We have two consecutive even integers:

a and b.

We know that we can write a even integer as:

a = 2*n

where n is an integer.

Then the consecutive integer to a, b, will be:

b = 2*n + 2.

Then the sum of a and b is:

a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.

The next two consecutive integers greater than b will be:

c = 2n + 4

d = 2n + 6

then:

c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.

I hope i helped:D

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If A = {1,20,30..} and B = {4,6} find n(A-B)?

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3 years ago
(3/2)^(-2).......................................................................
Charra [1.4K]

Answer:

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I hope this helps have a good rest of your day!

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3 years ago
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7. Which pair shows equivalent expressions? A. 3(x+2) = 3x + 6 B. 3x + 2x = x²(x + 2) C. 3x + 2 = 3(x + 2) D. -3(2 + x) = -6x -
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