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AP Calculus BC 10.2: Working with Geometric Series

Practise AP Calculus BC 10.2 by identifying geometric series, testing the common ratio, finding convergence intervals, and calculating infinite sums.

Syllabus
Effective Fall 2020
Course
AP Calculus BC

Exam points

  • Solve |r(x)| < 1 to determine every x-value for which a geometric series converges.
  • Identify the first term and common ratio, then calculate the infinite sum using a/(1-r).

LIM-7.A—Determine whether a series converges or diverges—Topic 10.2 question 1

[Maximum number: 1]

4. If ∑n=1∞bn\sum_{n=1}^{\infty} b_{n} is a geometric series of all-positive terms with b1=90b_{1}=90 and b3b_{3}=10, then ∑n=1∞bn\sum_{n=1}^{\infty} b_{n}

A

diverges

B

=105

C

=135

D

converges to a sum that cannot be determined

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