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Sergeu [11.5K]
2 years ago
13

Find a formula for the sum of the first n even integers : 2 + 4 + 6 + ... + 2n.

Mathematics
1 answer:
Sedbober [7]2 years ago
7 0

Let S be the sum,

S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n

Reverse the order of terms:

S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2

Add up terms in the same positions, so that twice the sum is

2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)

or

2S = n (2n + 2)

Divide both sides by 2 to solve for S :

S = n (n + 1)

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3 years ago
6s-4=8 (2+ 0.25s)<br> solve for s
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Answer:

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12, 18, 24, 30

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3 years ago
Find the value of w in the pentagon below if the perimeter is 105 meters.
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Times everything by 5

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Then you solve

5 0
3 years ago
If you divide a number by a other number will it always be smaller?
ioda
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