Question
$$\sum_{k=1}^n k=1+2+3+\cdots+n=$$ _______.(a) $n !$(b) $\frac{n(n+1)}{2}$(c) $n k$(d) $\frac{n(n+1)(2 n+1)}{6}$
Step 1
We need to find the sum of the first \( n \) natural numbers, which is expressed as \(\sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n\). Show more…
Show all steps
Your feedback will help us improve your experience
Julie Silva and 87 other 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
$\sum_{k=1}^{n} k=1+2+3+\cdots+n=$ _____. (a) $n !$ (b) $\frac{n(n+1)}{2}$ (c) $n k$ (d) $\frac{n(n+1)(2 n+1)}{6}$
Sequences; Induction; the Binomial Theorem
Sequences
Multiple Choice $\sum_{k=1}^{n} k=1+2+3+\cdots+n=$ ________. (a) $n !$ (b) $\frac{n(n+1)}{2}$ (c) $n k$ (d) $\frac{n(n+1)(2 n+1)}{6}$
$\sum_{n=1}^{x} a_{n}$ if $a_{n+1}=\frac{n}{2 n+3} a_{n}$
INFINITE SERIES, POWER SERIES
Useful facts about series
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD