Which of the functions below are equivalent to the function \( \sum_{k=-\infty}^{-4} \delta[n+k] ? \) \( \mu[n-4] \) \( \mu[n] \) \( \mu[n+4] \) None of the above
Added by Jose Maria C.
Close
Step 1
This is a sum of delta functions, \( \delta[n+k] \), where \( k \) ranges from \( -\infty \) to \( -4 \). The delta function, \( \delta[n] \), is a function that is equal to 1 when its argument is 0, and 0 otherwise. Show more…
Show all steps
Your feedback will help us improve your experience
Jeff Harris and 89 other Algebra 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
$\sum_{k=0}^{n} \frac{{ }^{n} C_{k}}{(k+1)(k+2)}=$ (A) $\frac{2^{n+1}-n-3}{(n+1)(n+2)}$ (B) $\frac{2^{n+2}-n-3}{(n+1)(n+2)}$ (C) $\frac{2^{n+2}-n+3}{(n+1)(n+2)}$ (D) none of these
Determine whether each of these functions from $Z$ to $Z$ is one-to-one. $$\begin{array}{ll}{\text { a) } f(n)=n-1} & {\text { b) } f(n)=n^{2}+1} \\ {\text { c) } f(n)=n^{3}} & {\text { d) } f(n)=[n / 2]}\end{array}$$
Basic Structures: Sets, Functions, Sequences, Sums,and Matrices
Functions
If $D_{k}=\left|\begin{array}{ccc}1 & n & n \\ 2 k & n^{2}+n+2 & n^{2}+n \\ 2 k-1 & n^{2} & n^{2}+n+2\end{array}\right|$ and $\sum_{k=1}^{n} D_{k}=48$, then $n$ equals (A) 4 (B) 6 (C) 8 (D) None of these
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD