百度试题 结果1 题目Find the sum of the convergent series. 相关知识点: 试题来源: 解析反馈 收藏
We can determine the sum of convergent series only to couple of them, but most of the convergent series don't have a closed form for their sum. T... See full answer below.Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our ...
Answer to: Find the sum of the following convergent series. Summation of {(-6)^n}/{{7^n}n}. It's not necessary to justify that they converge. By...
Let to check for convergence and divergence of the series ∑n=1∞hn . Then series can be represnted as hn=(−1)n+1qnor hn=(−1)nqn, where qn⩾0,∀n,. Then for convergent of the series following condition satiesfied; (1)...
Answer to: Find the exact sum of this convergent series: \sum_{n=1}^{\infty} \frac{(-3)^n}{2^{3n}} By signing up, you'll get thousands of...
T huSxn=1+x+x2+x3+x4+..T his is a geometric series with a=1 and r=x.Since |r|=|x|1 , it converges and [4] gives [5]∑_(n=0)^∞x^n=1/(1-x) [4] T he geometric series∑_(n=1)^∞ar^(n-1)=a+ar+ar^2+⋯ isconvergent if |r|1 and its sum isnar^(n...
百度试题 结果1 题目The sum to infinity of a convergent series is 20.The first term is 16. Find the third term of the series 相关知识点: 试题来源: 解析 Third terw 反馈 收藏
Series: To determine the sum of the given convergent series, expand the terms out for the partial sums and determine the terms that cancel out. Then take the limit of this sum to obtain the limit of the infinite series. Answer and Explanation: Since {eq}\begin{al...
The common ratio of this geometric series is r. A geometric series of this form is convergent if |r|<1 and divergent if |r|≥1. This series converges to a1−r. Answer and Explanation: The given series is ∑n=0∞1(20)n. This is clearly a geomet...
Find the series interval of convergence and within this interval, the sum of the series. sum_n=0^infty (x-3)^2n/36^n Find the interval of convergence of the power series \sum \frac{n! x^n}{(2n)!} Find the interval of convergence for the power series \sum _ { n = 0 }...