SOLUTION: what name is given to all the numbers that can be expressed as the sum of two consecutive numbers?

Question 366143: what name is given to all the numbers that can be expressed as the sum of two consecutive numbers?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let n = first number (which is an integer)

So is the next consecutive number.

Now add up the two numbers to get

Since n is an integer, is even (since 2 is a factor). So is odd.

So any odd number can be expressed as the sum of two consecutive numbers.

So to answer the question "what name is given to all the numbers that can be expressed as the sum of two consecutive numbers?", the answer is the set of odd integers.
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