A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Supposed p(n)=2^-n represents the nth partial sum of an infinite series Sum[s(n),n=1,Inf.]. Assume s(n) and p(n) are defined for all positive integers. What is the value of Sum[s(n),n=1,Inf.]? A. 0 B. 1 C. 2 D. 3 E. None of the above/ cannot be determined

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Suppose \[p(n)= \frac{1}{2^n}\] represents the nth partial sum of an infinite series:\[\sum_{n=1}^{∞}s(n)\] Assume s(n) and p(n) are defined for all positive integers. What is the value of \[\sum_{n=1}^{∞}s(n)?\]

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the limit of the series is the limit of the partial sums. This limit is clearly 0 so the limit of the series is 0.

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.