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 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 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...
View Solution Find the sum of the series132+1+142+2+152+3+162+4+∞ View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP...
Sum of an Infinite Series: The sum of the terms of a sequence {eq}\{ u_n \} {/eq} is known as a series or infinite series i.e. if {eq}\{ u_n \} {/eq} is a sequence then {eq}u_1+ u_2+ u_3 +...+ u_n +...= \displaystyle \sum_{n=1}^{\infty}...
百度试题 结果1 题目 For the following exercises, find the sum of the infinite geometric series.∑_(n=1)^∞4.6⋅0.5^(n-1) 相关知识点: 试题来源: 解析 S=9.2 反馈 收藏
Step 3: Simplify the General TermNotice that 2n+1 cancels out: Tn=6n(n+1) Step 4: Rewrite the General TermWe can further simplify Tn using partial fractions: Tn=6(1n−1n+1) Step 5: Set Up the Infinite SeriesNow, we can express the sum of the series: S=∞∑n=1Tn=∞∑n=16...
Find the sum of the infinite series. ∑2(n+1)(n+3) 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 series can be found by calculating th...
The sum of an infinite geometric series is 8 and the common ratio is 1/2. Find the first term. A. 4 B. 5 C. 6 D. 7 相关知识点: 试题来源: 解析 A。解析:根据无穷等比数列求和公式 S = a1/(1 - q),可得 a1 = 4。反馈 收藏 ...
find the sum of terms of infinite series with a given accuracy eps by the user i know i should use 'for' but i just dont get how to do it for infinite series. i also think that what i did for factorial is useless in a way. did i miss somothing? i definitely did but i dont ...