Mathematical Reasoning: Drill Set 2, Problem 2. A positive integer, n, when squared, is always greater than or equal to the doubling of n, except when n equals...what?
|CAHSEE Math||Mathematical Reasoning|
|Exponents and Radicals||Integer Exponents|
|Mathematical Reasoning||Generalizing results|
see whether we can conceive the theory of n in our brain.
When we get these kinds of problems, always
try 0 first because it's usually really easy to manipulate.
Then 1. Then negative 1. Then a fraction. Annnnnd we're done. Usually.
In this case, note the word ALWAYS and greater than or equal to...
It's giving us the equation n squared is greater than or equal to 2n.
True for 0. True for 2. True for 4. True for one half? No.
Try 1. Well, 2n is 2 and 1 squared is...1. So it's the only one that's NOT true --
And the answer is A.