Method 1: $$ f ( n ) = 2 n + 1 $$ From (46.1.2),we have $$ a _ { n } = a _ { 1 } + \sum _ { k = 1 } ^ { n - 1 } ( 2 k + 1 \\ = 1 + \left[ 3 + 5 + \cdots + ( 2 n - 1 ) \right] \\ = 1 + \frac { ( 3 + 2 n - 1 ) ( n...
百度试题 结果1 题目Find the general term, u_n, of the geometric sequence that has:u_2=-12 and u_7=512 相关知识点: 试题来源: 解析 u_n=18(-4)^(n-1) 反馈 收藏
Write the first four terms of the sequence whose general term is given: a_n=\frac{2n}{n+9} Find a formula for the general term, a_n. Assume that the first term in the sequence is a_1: \{\frac{3}{4}, \frac{4}{9}, \frac{5}{16}, \frac{6}{...
This question is asking you to find the general term of the sequence, given the first few terms of the sequence. Hence you must find the pattern in the terms. Notice that the terms are alternating in signs and the numerator is a power of 3, and the den...
This is a full guide to finding the general term of sequences. There are examples provided to show you the step-by-step procedure for finding the general term of a sequence.
百度试题 结果1 题目 In the following exercises, find a general term for the sequence whose first five terms are shown. 相关知识点: 试题来源: 解析 a_n=e^(n+2) 反馈 收藏
u_3=8 ∴ u_1+2d=8 (1) {using u_n=u_1+(n-1)d}u_8=-17 ∴ u_1+7d=-17 (2)We now solve (1) and (2) simultaneously:-u_1-2d=-8 {multiplying both sides of (1) by -1}u_1+7d=-17∴ 5d=-25 {adding the equations}∴ d=-5So, in (1): u_1+2(-5)=8∴ u_1...
Find the 7th term of the G.P. 4 ,-8 , 16, ... . View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
Find the general term of the sequences, starting with n = 1, determine whether the sequence converges, and if so find its limit. \frac{3}{2^2 - 1^2}\cdot \frac{4}{3^2 - 2^2}\cdot\frac{ 5}{4^2 - 3^2} . 1. Given the sequence {...
Find the first four terms of a sequence that has the nth term. a_{n} = 2(n + 1)! Find the general term of the sequence, starting with n = 1. 1/2, 3/4, 5/6, 7/8, ... Find the general term of the sequence, starting with n = 1. 1, -1/3, 1/9, -1/...