An Even Sum

The sum of several even numbers is even. What can we say about the number of terms?

It's square It's odd It can be anything It's even

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2 solutions

Ashish Menon
May 28, 2016

An even number is divisible by 2. If we add two numbers that are divisible by 2, we can take atleast one 2 common from the summation. So, the entire sum is divisible by 2 making it even. So, yhe answer is It can be anything \color{#69047E}{\boxed{\text{It can be anything}}} .

Hana Wehbi
Apr 9, 2016

It can be anything, because the sum of even n terms is even, regardless if n is even or odd.

I think you mean "It can be anything"?

Calvin Lin Staff - 5 years, 2 months ago

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Yes, i did see that. I will edit it once I will log on from my computer :)

Hana Wehbi - 5 years, 2 months ago

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