Calculate the first four terms of the sequencean=n+(n+1)+(n+2)+...+(6n),starting withn=1. Sequences: A sequence is simply a function with a domain of the natural numbers. We can define sequences in a number of ways. Two common variants are given belo...
(i) Find, in terms of k, an expression for the number of terms in this series.(ii)Show that the sum of this series is50+(5000)/k (4)(c) Find, in terms of k, the 50th term of the arithmetic sequence(2k+1),(4k+4),(6k+7),...,giving your answer in its simplest form.(...
Calculate the first eight terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent or divergent? ∑limits _(n=1)^∞ 1(ln (n+1)) 相关知识点: 试题来源: 解析 For ∑limits _(n=1)^(∞ ) 1(ln (n+1)), a_n= 1(ln (n+...
A device that performs logic and arithmetic digital operations based on numerical data which are entered by pressing numerical and control keys. Also known as calculating machine. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. cal...
Quickly find the largest number in a number sequence. Find the Minimum Number Quickly find the smallest number in a number sequence. Generate a Unit Matrix Quickly create a diagonal matrix with ones on the main diagonal. Convert Numbers to Words Quickly spell cardinal and ordinal numbers usi...
Calculate the 3th term in the sequence when a1 = 42 and d = 3.Arithmetic Sequence:The sequence that follows a constant difference between every consecutive terms, is known as the arithmetic sequence. The nth term of the arithmetic sequence is given by the following formula: ...
Calculate the first three terms of the following sequences(i) 5n-2 (ii) n^+1Calculate the average speed(km/h)ofA. a cyclist who takes 1 hour 30 minutes to travel 48kmB. a horse that travels 8 km in 12 minutesThe volume of the box is 385 cm3A. Calculate the area of the base...
Calculate the number of terms in each of the following arithmetic sequences.a,a+d,a+2d,,a+(n-1)d 相关知识点: 试题来源: 解析 n 结果一 题目 【题目】Calculate the number of terms in each of the following arithmetic sequences.a,a+d,a+2d,...,a+(n-1)d 答案 【解析】 n 结果二 ...
x^xNon-integrable functionDoes not have a standard antiderivative in terms of elementary functions. a^x (where a is a constant)a^x/ln(a) + CThis formula generalizes the integral for any base a. 1/x^2 or x^-2-1/x + CApplying the power rule for integration to negative powers. ...
Sequences: We want to compute the first four terms of a particular sequence in the problem described above. Note that each of the terms of the sequence is itself a finite series (i.e. each element in the sequence is a sum). With this in mind, w...