Find the amount of the infinite collection whose sequence of partial sums, Sn, is

Hello!

So, keep in mind that what us *mean* Sn. It is what we acquire after including together the an initial n terms of some succession an. So, for example, if we had a succession of terms that we wanted to include together, let"s speak it"s an=1 (that is, every member the the succession is 1), us can find it"s succession of partial sums Sn. To list a few, S1 = 1, S2= 1+1, S3=1+1+1, and so on. You"d watch that Sn = n. Therefore if we wanted to discover the infinite sum the an, we would *take the limit* the Sn. (In this instance case, we"d it is in doing limn->∞n, and also since this limit doesn"t exist, us say the infinite collection does not converge, or diverges...in various other words, if you include 1+1+1+1+1...forever, the does not converge to any kind of value: quite intuitive!).

You are watching: Calculate the sum of the series whose partial sums are given

Now, back to *your* problem! If her partial sums are offered by Sn= 10 - 1/(n+1), then all we desire to do is take it the limit of Sn.

Therefore your answer is:

limn-->∞Sn = limn-->∞(10 - 1/(n+1)).

= limn-->∞10 - limn-->∞(1/(n+1))

=10 -0

=10.

upvote • 0 Downvote

add comment

More

Report

## Still trying to find help? obtain the best answer, fast.

questioning a inquiry for cost-free

get a complimentary answer to a fast problem. Most questions answered in ~ 4 hours.

OR

find an virtual Tutor now

select an expert and also meet online. No packages or subscriptions, pay only for the time you need.

¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

### RELATED TOPICS

Calculus Ap Calculus Ap Calculus Bc

### RELATED QUESTIONS

Calculus BC aid ASAP!answers · 1

AP Calculus BC NEED assist ASAP PLEASE!answers · 1

Calculus BC Integrals aid ASAP!answer · 1

Calculus BC Question, Need help ASAPanswers · 1

use the intermediate value theorem to prove that the equation x^3=x+8 contends least one equipmentanswers · 4

### RECOMMENDED TUTORS

Ben G.

5 (3)Ryan Y.

4.9 (252)Kevin X.

5 (27)See an ext tutors

### find an digital tutor

### related lessons

Download our totally free app

A link to the app was sent to your phone.

See more: No Rooms Found Fix For Dragon Ball Fighterz Ring Match No Rooms Found Fix

Please administer a precious phone number.

Google pat application Store

get to know us

find out with united state

work with united state

Download our free app

Google pat app Store

Let’s keep in touch

Need more help?

Learn an ext about exactly how it works

best in business because 2005

Tutors by topic

Tutors by ar

Sitemap regards to Use Privacy policy

© 2005 - 2021 couchsurfingcook.com, Inc, a division of IXL learning - all Rights booked |