The infinite sum of a geometric sequence can be found via the formula if the common ratio is between -1 and 1. If it is, then take the first term and divide it by 1 minus the common ratio. How do you find the sum of an infinite geometric series? To find the sum of an infinite...
The sum of an infinite geometric series is of the form: S=a11−r where a1 is the first term and r is the ratio whose absolute value is less than 1. We know that the second term is the first term multiplied by the ratio. In other words: a1⋅r=1a1=1r Thus, the sum is the...
Geometric Series - Sum to infinity IFYMaths GeometricSeriesSumtoInfinity Geometricseries–SumtoInfinitySupposewehavea2metrelengthofstring...whichwecutinhalf 1m1m Weleaveonehalfaloneandcutthe2ndinhalfagain 1m 12 m 14 12 m 14 ...andagaincutthelastpieceinhalf 1m 12 m m m Geometricseries–SumtoInf...
()A. (1+√5)/2B.2C. √5D.3E.4 答案 【解析】E相关推荐 1【题目】T he sum of an infinite geometric series is a positivenumber S, and the second term in the series is 1.What is the smallest possible value of S?()A. (1+√5)/2B.2C. √5D.3E.4 反馈 收藏 ...
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 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)...
(A) 1/2 (B)1 (C) 3/2 (D)2 (E)5/2 相关知识点: 试题来源: 解析选A 1/2 :此无限等比数列求和公式为S∞=a1/(1-q) ,a1是首项,q是公比 所以代入数值后得 S∞=(1/4)/(1-1/2)=1/2 即为此等比数列的总和. 故选A 1/2 【此题的英文翻译】无穷等比数列 1/4+1/8+1/16+1/32+...
百度试题 结果1 题目What is the sum of the infinite geometric series? ( )∑limits _(n=1)^(∞ )(-144)( 12)^(n-1) A. -288 B. -216 C. -144 D. -72 相关知识点: 试题来源: 解析 A 反馈 收藏
The formula for the sum of an infinite geometric series follows:for |r|1,s=(|a_1)/(1-r)|What is the sum for the following infinite series?8+4+2+1+1/2+ OA:16Strike ResetOB(15)/2Stike ResetOCStrike ResetD8Strike Reset 相关知识点: 试题来源: 解析 8+4+2+1+1/2+⋯ [OMm...
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