Question
Use summation rules to compute the sum.$$\sum_{k=0}^{n}\left(k^{2}+5\right)$$
Step 1
Step 1: First, we can split the sum into two separate sums: $$ \sum_{k=0}^{n}\left(k^{2}+5\right) = \sum_{k=0}^{n}k^{2} + \sum_{k=0}^{n}5 $$ Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 54 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
Use summation rules to compute the sum. $$\sum_{i=0}^{n}\left(i^{2}+5\right)$$
Integration
Sums and Sigma Notation
Compute each sum by applying properties of summation. $$\sum_{k=1}^{4}\left(2 k^{3}+5\right)$$
Additional Topics in Algebra
Sequences and Series
Express the sum in terms of $n$ (see Example 4 ). $\sum_{k=1}^{n}\left(k^{2}+3 k+5\right)$
Integrals
Summation Notation and Area
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD