Odd number?

Number Theory Level 1

True or False

The sum of two consecutive whole numbers is always an odd number

True False

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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3 solutions

Even + odd = odd. (0 mod 2 + 1 mod 2 = what mod 2)

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Where does the "square" come from?

Steven Jim - 3 years, 10 months ago

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Uhm... That come from the other question. Mixed this up... Sorry.

Peter van der Linden - 3 years, 10 months ago

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Then fix it, to be honest. This looks confusing.

Steven Jim - 3 years, 10 months ago

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@Steven Jim – Done, didn't have time for that when I replied ;)

Peter van der Linden - 3 years, 10 months ago

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@Peter van der Linden – Yeah. It looks better now.

Steven Jim - 3 years, 10 months ago

Let n be a whole number. Then (n + 1) is the next consecutive number. Adding both of it or:

n + ( n + 1 ) = 2 n + 1 , which means that it is odd since 2n is even \large \color{#3D99F6} n + (n + 1) = 2n + 1 \color{#20A900} \text{, which means that it is odd since 2n is even}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The best way to answer this is to add two consecutive whole numbers. For example, 1+2=3, 2+3=5, 3+4=7 .. etc...

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No, you have only proved with these examples. How can you say that it is always an odd number? and will work in all cases.

Munem Shahriar - 3 years, 10 months ago

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