Question
In Exercises $23-36,$ use the formula for the sum of a geometric series to find the sum or state that the series diverges.$$\frac{1}{1}+\frac{1}{8}+\frac{1}{8^{2}}+\cdots$$
Step 1
A geometric series is a series with a constant ratio between successive terms. In this case, the ratio is $\frac{1}{8}$. Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 93 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In Exercises $23-36,$ use the formula for the sum of a geometric series to find the sum or state that the series diverges. $$\sum_{n=0}^{\infty} \frac{8+2^{n}}{5^{n}}$$
INFINITE SERIES
Summing an Infinite Series
In Exercises $23-36,$ use the formula for the sum of a geometric series to find the sum or state that the series diverges. $$\sum_{n=0}^{\infty} \frac{3(-2)^{n}-5^{n}}{8^{n}}$$
In Exercises $23-36,$ use the formula for the sum of a geometric series to find the sum or state that the series diverges. $$\sum_{n=1}^{\infty} e^{-n}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD