\( \because \) uflinstructure.com/courses/541925/quizzes/1507685/take UF FLORIDA Account Dashboard Courses 28 Groups Calendar box (b) History 10 p \( \leftarrow \) (B) \( \bigcirc \) \( \frac{\ln 6}{6} \) Fall 2025 Home Announcements Assignments Discussions Grades Honorlock Zoom Conferences Campus Resources Course Analytics NameCoach GatorEvals \( \square \) Question 4 L17-Part 2-Q2 \( \bigcirc \) \( \bigcirc \) \( \bigcirc \) 2 0.33 pts Select the correct form of the partial sum \( S_{N} \) of the telescoping series \( \sum_{n=2}^{\infty}(\sqrt{n}-\sqrt{n+2}) \) \( S_{N}=\sqrt{2}+\sqrt{3}-\sqrt{N+1}-\sqrt{N+2} \) \( S_{N}=\sqrt{2}-\sqrt{N+1} \) \( S_{N}=\sqrt{2}+\sqrt{3}-\sqrt{N}-\sqrt{N+2} \) \( \bigcirc \) \( S_{N}=\sqrt{2}+\sqrt{3}-\sqrt{N-1}-\sqrt{N+1} \) \( \bigcirc \) \( S_{N}=1-\sqrt{N+1} \) \begin{tabular}{|ll|} \hline Question 5 & 0.33 pts \\ L17-Part 3-Q1 & \\ Find the sum if it converges & \\ \( \infty[\sin (n+2) \quad \sin (n+1) \quad \sin n] \) & \\ \hline \end{tabular}
Added by Joel W.
Close
Step 1
Step 1: Identify the series given: \[ \sum_{n=2}^{\infty} (\sqrt{n} - \sqrt{n+2}) \] Show moreβ¦
Show all steps
Your feedback will help us improve your experience
Daniel Carr and 82 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
Can do number 12 step by step
Daniel C.
Eduard S.
Brian B.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD