Find the sum of the series: ?_{n=0}^{?} rac{(-1)^{n} 49^{n-2}}{(2n+1)!}
Added by Lisa M.
Close
Step 1
We can rewrite the series as: $$\sum_{n=0}^{49} (-2)^n (n+1)! = 1! - 2(2!) + 4(3!) - 8(4!) + \cdots - 2^{49}(50!)$$ Show more…
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 71 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
Find the sum of the convergent series. You should note the value for n where the series begins.
Madhur L.
$63 - 70$ Find the sum of the series. $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { 3 ^ { n } } { n 5 ^ { n } }$$
Infinite Sequences and Series
Taylor and Maclaurin Series
Find the sum of the first $\mathrm{n}$ terms of the series: $3+7+23+87+\ldots$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD