Find the sum of 10 terms of the series1+√3+3+…. View Solution Find the sum of n terms of the series 4/3 + 10/9+28/27+… View Solution Find the sum of 6 terms of the series 2+6+18+….. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutio...
the first term in the sequence a 10= 2+9(3) d= common difference a 10= 29 To find the sum, we need this equation: S n= (n(a 1+a n))/2 where: n= terms of the arithmetic sequence Next is we have to substitute and compute: a ...
结果1 题目 If the sum of the first ten terms of the series1/5+2/(65)+3/(325)+4/(1025)+5/(2501)+.. iSm/n , where m and n are co-prime numbers, then m + n is equal to 276 相关知识点: 试题来源: 解析 276 反馈 收藏 ...
The sum of the first 2012 terms of a geometric progression is 200. The sum of the first 4024 terms of the same series is 380. Find the sum of the first 6036 terms of the series. O 500 View Solution Finish The sum of the first 2012 terms of a geometric progression is 200. The sum...
结果1 题目 Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error.∑limits _(n=1)^(∞ ) 1(√ (n^4+1)) ___ 相关知识点: 试题来源: 解析 ∑limits ^(10)_(n=1) 1(√ (n^4+1))≈ 1.24856. 反馈 收藏 ...
Answer to: a. Find the sum S_N of the first N terms of the series sum_{n = 0}^{infinity} (-2)^n. b. Determine whether the series is convergent,...
The general term of the series can be expressed as: Tn=(4n+1)2for n=1,2,…,10 3. Calculate the Sum of the First 10 Terms: We need to find: S10=10∑n=1Tn=10∑n=1(4n+1)2 Expanding (4n+1)2: (4n+1)2=16n2+8n+1 Therefore, S10=10∑n=1(16n2+8n+1)=1610∑n=1n2+810...
, the equation becomes , so the sum of the first n terms of the arithmetic series, S, is equal to one-half the number of terms multiplied by the sum of the first and last terms. That is, . Find the sum of the terms in the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. ...
To prove that the given series is an Arithmetic Progression (A.P.) and to find its 10th term, we can follow these steps:Step 1: Define the sum of n terms Let the sum of the first n terms of the series be denoted as \( Sn \). Ac
2# : X+Y = 3+7= 10 3# : X+2Y= 3+14= 17 4# : X+3Y= 3+21= 24结果一 题目 英语翻译The sum of the first 5 terms of an arithmetic series is 85.The sum of the first 6 terms is 123.Determine the first four terms of the series. 答案 一个数学系列前5项之和是85,前六项...