5.5 Convergence & divergence of geometric series

Convergence & divergence of geometric series

Lessons

Notes:
Formulas for Geometric Series:

n=0arn=a1r\sum_{n=0}^{\infty}ar^n=\frac{a}{1-r} if -1 < rr < 1
n=1arn1=a1r\sum_{n=1}^{\infty}ar^{n-1}=\frac{a}{1-r} if -1 < rr < 1
If -1 < rr < 1, then the geometric series converges. Otherwise, the series diverges.
  • 2.
    Convergence of Geometric Series
    Show that the following series are convergent and find its sum:
  • 3.
    Divergence of Geometric Series
    Show that the following series are divergent:
Teacher pug

Convergence & divergence of geometric series

Don't just watch, practice makes perfect.

We have over 510 practice questions in Calculus 2 for you to master.