Friday

February 27, 2015

February 27, 2015

Posted by **thisha** on Thursday, September 28, 2006 at 6:10pm.

2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?

For 1) use the definition of a non-zero rational number.

Defn: A non-zero rational is any number that can be expressed as p/q where p and q are non-zero integers.

If p/q is rational, then how about q/p?

For 2) you should be able to supply both a constructive and non-consructive proof.

Since the sum of any finite set of integers is an integer, there exists an integer for the sum of the first +n integers.

There is a formula for this, but I'll let you work on this.

**Answer this Question**

**Related Questions**

Math - Proove that: a)2^(1/2) is not rational. b) prove that 2^(1/3) is not ...

Math - I just wanted to check my answers with anyone willing to take the time. ...

discrete math - Let f:ℤ+ → ℤ+ be the function defined by: for...

discrete math - Let A= {for all m that's an element of the integers | m=3k+7 for...

maths - Prove that if p and q are rational and p is not equal to 0, the roots of...

discrete math - If a and b are positive integers, prove that; ab = gcd(a,b)*lcm(...

math - If a b c are non zero,unequal rational numbers then prove that the roots ...

Algebra 2 - i am stuck. Prove that if a and b are rational numbers, (a + ^b)3...

algebra - Anyone? Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^...

Math - Identify all sets to which the number 3 belongs A. Whole numbers, ...