AP Calculus BC 10.2 Geometric Series Overview

Identify a geometric series, test its common ratio for convergence and calculate its infinite sum when it exists, including series written in shifted form.

Exam points

identify the governing calculus relationship in the problem
justify the result with symbolic, graphical or contextual evidence

Covered syllabus points

LIM-7.A—Determine whether a series converges or diverges—Topic 10.2

[Maximum number: 1]

4. If $\sum_{n=1}^{\infty} b_{n}$ is a geometric series of all-positive terms with $b_{1}=90$ and $b_{3}$ =10, then $\sum_{n=1}^{\infty} b_{n}$

diverges

=105

=135

converges to a sum that cannot be determined

All question bank results loaded

Covered syllabus points

10.2 Working with Geometric Series question 1