Post a New Question

Calculus - Series2

posted by .

Find the sum of each of the convergent series:

b) 5 - 1/3 + 20/9 - 40/27 + 80/81 .....

so first we need to find the general term, and I'm not sure of my answer, but I got:

((-1)^2 * 2!)/3^n and a0 = 5

From here on I'm lost.

  • Calculus - Series2 -

    Found it, the answer is S=3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    find if the series is convergent and what it sums to the sum from k=3 to infinity of (k+1)^2/((k-1)(K-2)) I'm not sure how to start
  2. calculus

    determine whether the series is convergent if so find sum it is the sum from k=1 to infinity of ((-1)^k)/(3^(k+1)) i found this series to be geometric where a=-1/9 and r=1/3 my answer was converges to 1/6
  3. calculus

    for each series determine if the series is absolutely convergent and convergent the sum from 0 to infinity of (-1)^n/(the square root of (n+1)) I did the ratio test and got -1, which is less than 0 making it absolutely convergent, …
  4. math

    the "k"th term of a series, Sk=a 1-r^k/1-r, is the sum of the first "k" terms of the underlying sequence. the difference between the "n"th terms of two particular series is greater than 14 for some values of n (is an element of) N. …
  5. Calculus

    a) Find the Taylor series associated to f(x) = x^-2 at a = 1. Be sure to show the general term of the series. b) Find the radius of convergence of the series. c)Use Lagrange's Remainder Theorem to prove that for x in the interval of …
  6. Calculus

    By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A) 1+5 + (5^2)/(2!)+(5^3)/(3!)+(5^4)/(4!)+...+ (5^k)/(k!)+...= B) 1-(2^2)/(2!)+(2^4)/(4!)-(2^6)/(6!)+...+((-1)^(k)2^(2k))/((2k)!) …
  7. Calculus

    Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE. sum from 1 to infinity of 1/e^2n. It is convergent, but I do not know how to solve for the sum.
  8. Calculus

    Determine whether the series is convergent or divergent. If it is convergent, find its sum. If it is divergent, enter NONE. sum from 1 to infinity of (5^n+4^n)/20^n It is convergent, but I do not know how to find the sum.
  9. Calculus 2 (Series - Convergent or Divergent?)

    Can someone show me a step by step process and explanation how to solve this problem?
  10. Calculus II

    I need to find if the summation of (n^4)/(n^10 + 1) is convergent or divergent from n=1 to infinity. I tried splitting it up into two sums, one being 1/n^6, which would be convergent because p=6>1, and then the other being n^4, …

More Similar Questions

Post a New Question