My doubt about even numbers

I have 2 doubts regarding even numbers.

$\square$ The first one is, Which is the first even number 0 or 2 ?

$\square$ If 0 is the first even number here is my second doubt, If they ask the sum of first n even numbers is it 0 + 2 + 4 .... or 2 + 4 + 6....

#Algebra

Easy Math Editor

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`2 \times 3`	$2 \times 3$
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Comments

@Shriniketan Ruppa - By definition even number is any number which is divisible by $2$ also your second doubt's answer varies from place to place for example if you says even natural number it starts from $2$ , if you say even whole numbers it starts from $0$ and if you say even integer it never starts! In mathematics you can't directly. If you see in brilliant here it reads - "An even number is a number which has a remainder of 0 upon division by 2." By this definition any integer (positive or negative) can be said to be an even number (means they never starts). So it is to be mentioned that about which type of even numbers are you talking about ? (whole number, narural number, or integer)

Zakir Husain - 12 months ago

@Zakir Husain, I have already cleared @Shriniketan Ruppa's doubts.

A Former Brilliant Member - 12 months ago

@Shriniketan Ruppa, $2$ is the first even number.

$0$ is the integer sepearating the positive and negative integers.

As for your second doubt, the sum of the first $n$ even numbers is $2 + 4 + 6 + ...$

I hope this clarifies any doubts about the even numbers you had now.

A Former Brilliant Member - 12 months ago

@Yajat Shamji Thank you for clearing my doubt almost immediately

Shriniketan Ruppa - 12 months ago

No problem! @Shriniketan Ruppa

A Former Brilliant Member - 12 months ago

Zero is even. See this

Vinayak Srivastava - 12 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$