Find $a_n$ for the given geometric sequence. $4, -\frac{4}{5}, \frac{4}{25}, -\frac{4}{125}, \frac{4}{625}, ...$ A. $a_n = 4\left(-\frac{1}{5}\right)^n$ B. $a_n = 4\left(-\frac{1}{5}\right)^{n-1}$ C. $a_n = 4\left(-\frac{1}{25}\right)^{n-1}$ D. $a_n = 4\left(\frac{1}{5}\right)^{n-1}$
Added by Katrina K.
Close
Step 1
We know that the geometric sequence has the form: $a, ar, ar^2, ar^3, \dots$ Show more…
Show all steps
Your feedback will help us improve your experience
Mukesh Devi and 94 other Precalculus 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
Find as and a for each geometric sequence. $$\frac{4}{5}, 2,5, \frac{25}{2}, \dots$$
Further Topics in Algebra
Geometric Sequences and Series
For Exercises $25-34,$ find the indicated term of each geometric sequence. $$\text { Given } a_{n}=5(3)^{n-1}, \text { find } a_{4}$$
Binomial Expansions, Sequences, and Series
Find $a_{5}$ and $a_{n}$ for each geometric sequence. $$\frac{4}{5}, 2,5, \frac{25}{2}, \dots$$
Recommended Textbooks
Precalculus with Limits
Precalculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD