AP Calculus BC Problem- Geometric Series

Geometric Series

AP Calculus BC problems involving series tend to be difficult for students. I thought I would start things off easy today with a level 2 problem involving geometric series. Those of you that have forgotten the basics of geometric series should find the video above helpful.

Let’s now try an AP Calculus BC series problem. AB students do not need to worry about this one. I will provide a full explanation for this problem tomorrow. In the meantime, feel free to leave your own solutions in the comments.

Level 2 Series

 

g(x)=\Sigma_{n=1}^{\infty}(sin^2 x)^n

If g is the function given above, then g(π/3) =

(A) 3
(B) 1
(C) 3/4
(D) 1/2

More AP Calculus Problems with Explanations

If you are preparing for one of the AP Calculus exams, you may want to take a look at one of the following books.

And if you liked this article, please share it with your Facebook friends:

ACT Math Facebook Share Button

Get 800 SAT Math Prep Facebook Link Get 800 SAT Math Prep Twitter Link Get 800 SAT Math Prep YouTube Link Get 800 SAT Math Prep LinkedIn Link Get 800 SAT Math Prep Pinterest Link

Comments

comments