Find a formula for the general term $a_{n}$ of each of the following sequences. $\{1,0,-1,0,1,0,-1,0, \ldots\}$ (Hint: Find where $\sin x$ takes these values)
Added by Paula M.
Step 1
Step 1:** Identify where the sine function takes on the values in the given sequence: - $1$ corresponds to $\sin(\frac{\pi}{2})$ - $0$ corresponds to $\sin(\pi)$ - $-1$ corresponds to $\sin(\frac{3\pi}{2})$ - $0$ corresponds to $\sin(2\pi)$ ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
William Semus and 91 other Calculus 2 / BC 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 a formula for the general term $a_{n}$ of the sequence, assuming that the pattern of the first few terms continues. $\{1,0,-1,0,1,0,-1,0, \ldots\}$
Infinite Sequences and Series
Sequences
Manisha S.
Find the indicated term for each sequence whose general term is given. $$ a_{n}=100-7 n ; a_{50} $$
Sequences, Series, and the Binomial Theorem
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD