Question

Approximate the sum of the series correct to four decimal places, ((-1)^n-1*n^2)/12^n

Approximate the sum of the series correct to four decimal places, ((-1)^n-1*n^2)/12^n

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How many terms of the series n=2 to infinity 12/(6n ln(n)^2) would you need to approximate...
How many terms of the series n=2 to infinity 12/(6n ln(n)^2) would you need to approximate the sum with an error less than 0.02?
1. Use a power series to approximate the definite integral, I, to six decimal places. 0.4...
1. Use a power series to approximate the definite integral, I, to six decimal places. 0.4 to 0, (x5 / 1 + x6 ) dx 2. Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = ln(9 − x). Determine the radius of convergence, R. I already found the first part to be x is 1/n(x/9)^n but can't find R
Use the Maclaurin series for e^{-x^{2}} to approximate e^-4 to 2 decimal places
Use the Maclaurin series for e^{-x^{2}} to approximate e^-4 to 2 decimal places
Use a power series to approximate the definite integral to 4 decimal places: from 0 to...
Use a power series to approximate the definite integral to 4 decimal places: from 0 to 1/2 (x^2)(e^(-x^2) dx. Find power series of e^-x^2. and the value of the integral (how many terms needed)
find the sum of the series (2^n+3^(n+1)+4^(n+2))/5^n.
find the sum of the series (2^n+3^(n+1)+4^(n+2))/5^n.
Determine if the series converges conditionally, converges absolutely, or diverges. /sum(n=1 to infinity) ((-1)^n(2n^2))/(n^2+4) /sum(n=1 to...
Determine if the series converges conditionally, converges absolutely, or diverges. /sum(n=1 to infinity) ((-1)^n(2n^2))/(n^2+4) /sum(n=1 to infinity) sin(4n)/4^n
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge...
Given the alternating series: sigma(2 to infinity): (-1)^n / ln n Determine if the series converge absolutely.    (Use the fact that: ln n < n) Determine if the series converge conditionally. (Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the...
Consider the following series. ∞ 1 n4 n = 1 (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) s10 = 0.082036 Incorrect: Your answer is incorrect. (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) sn + ∞ f(x) dx n + 1 ≤ s ≤ sn + ∞ f(x) dx n ≤ s...
Given the alternating series:    n=2∞(-1)^n/ln(n) (7 pts) Determine if the series converge absolutely.    (Use the fact...
Given the alternating series:    n=2∞(-1)^n/ln(n) (7 pts) Determine if the series converge absolutely.    (Use the fact that: ln n < n ) (7 pts) Determine if the series converge conditionally. (7 pts) Estimate the sum of the infinite series using the first 4 terms in the series and estimate the error. (7 pts) How many terms should we use to approximate the sum of the infinite series in question, if we want the error to be less than 0.5?
Determine the radius and interval of convergence of the series infinte sum n=0 n(x+2)^n / 3^n+1
Determine the radius and interval of convergence of the series infinte sum n=0 n(x+2)^n / 3^n+1