For the series below calculate find the number of terms $n$ that must be added in order to find the sum to the indicated accuracy. $\sum_{n=1}^{\infty} \left( \frac{(-1)^n 3}{n^{1.4}} \right)$ $|error| < 0.0001 n = $
Added by James S.
Close
Step 1
4 and we need to find the number of terms n that must be added in order to find the sum to the indicated accuracy. Show more…
Show all steps
Your feedback will help us improve your experience
Suman K and 86 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
For the series below, calculate the number of terms (n) that must be added in order to find the sum to the indicated accuracy. ∞ ∑ n = 1 ( ( -1 )^n 3/n^0.8 ) |error| < 0.001
Suman K.
(a) Use the sum of the first 10 terms to estimate the sum of the series $\Sigma_{n-1}^{\infty} 1 / n^{2} .$ How good is this estimate? (b) Improve this estimate using ( 3) with $n=10$. (c) Compare your estimate in part (b) with the exact value given in Exercise 34 . (d) Find a value of $n$ that will ensure that the error in the approximation $s \approx s_{n}$ is less than $0.001 .$
Sri K.
Find the number of terms necessary to approximate the sum of the series with an error of less than 0.001 sigma on top infinity when n=1 [(1/n^2)].
David N.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD