Showing posts with label concave up. Show all posts
Showing posts with label concave up. Show all posts

Thursday, July 30, 2015

Analysis for Quiz 12: Brain Power Enrichment Quiz (I)

Analysis for Quiz 12: Brain Power Enrichment Quiz (I)

Question 1: If $a\gt b$ and $c\gt d$ are true, then we can say $a+c\gt b+d$ is always true.

A. Correct.
B. Incorrect.

Answer:

Yes, that is always correct, regardless if $a,\,b,\,c,\,d$ are negative or positive real number.

Take for example, we have:

Tuesday, May 5, 2015

Prove 16<1/√(1)+1/√(2)+1/√(3)+1/√(4)+...1/√(79)+1/√(80)< 17

Show that [MATH]16 < \sum_{k=1}^{80}\dfrac{1}{\sqrt{k}}< 17[/MATH].

It goes without saying that there's more than one way to skin any given math problem. Exposing students with intriguing math problem can actually instill a genuine interest in creative problem-solving from an early age.