百度试题 结果1 题目In Exercise, find the sum of the infinite series.∑limits_(i=1)^∞6(10^i) 相关知识点: 试题来源: 解析 23 反馈 收藏
Find the sum of an infinite geometric series whose first term is the l... 06:21 Evaluate the limit: ("lim")(xvec0)(sqrt(2)-sqrt(1+cosx))/(sin^2x) 03:25 The first derivative of the function [cos^(-1)(sin sqrt((1+x)/(2)))+x^... 01:50 Find the sum of an infinite ...
Find the sum of the infinite series. {eq}\sum^\infty_{k = 1} \frac{1}{k(k + 3)} {/eq} Sum of a Series: For the series sum that has the term til infinity, has to be converging, and then the value will be finite. The test used is the ratio test for co...
Find the sum of the infinite geometric series.∑_(n=1)^∞(1/4)^n Write your answer as an integer or a fraction in simplest form. 相关知识点: 试题来源: 解析 n=1F(1/4)^n +[1/4+(1/4)^2+(1/4)^3+⋯] 3/4[1+1/4+1/(4^2)+1/(4^3)+⋯-J] 3/4*1/(1-1/4)...
Find the sum of the infinite series. {eq}\sum \frac{2}{(n + 1)(n + 3)} {/eq} Telescoping Series: A telescoping series is a series whose partial sums have simple forms as the result of all the cancellations among the successive terms. The sum of a telescoping seri...
Find the Sum of the Infinite Geometric Series 1/3 , 2/3 , 1 , 4/3 , 5/3 , , , , 答案 This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .Arith...
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We say that the sum to infinity is 8, or The sum to infinity of the series is calculated by , where is the first term and r is the ratio between each term. For this series, where and , which becomes . The sum of an infinite number of terms of this series is 8. ...
Find the sum of the first 2006 terms of the following infinite series:1(1⋅3)+1(3⋅5)+1
This ratio is called the common ratio. The sum of a finite or infinite number of terms of a geometric series can be found out using a formula. Answer and Explanation: For a geometric series with the first term {eq}...