Find the common difference of the arithmetic sequence.
2 answers:
You might be interested in
Answer: Choice A)
==================================================
Work Shown:
When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule to break up the root and simplify.
Answer:
=========================================================
Work Shown:
Apply the following trig identity
Now let's rationalize the denominator
----------------------
As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how
which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as but it's the same as above.
