Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:

Textbooks
Ask our Educators
Study Tools
Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
For Educators
Become an educator Educator app for iPad Our educators
For Schools

Problem

List the first five terms of the sequence. $ a_n…

02:01

Question

Answered step-by-step

Problem 7 Easy Difficulty

List the first five terms of the sequence.
$ a_n = \frac {1}{n + 1}! $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Gabriel Rhodes

Numerade Educator

Report

Textbook Answer

Official textbook answer

Video by Gabriel Rhodes

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 1

Sequences

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Calculus 2 / BC Courses

Lectures

01:59

Series - Intro

In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence of real numbers is called a finite series. The sum of an infinite sequence of real numbers may or may not have a well-defined sum, and may or may not be equal to the limit of the sequence, if it exists. The study of the sums of infinite sequences is a major area in mathematics known as analysis.

02:28

Sequences - Intro

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first "n" natural numbers (for a finite sequence). A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right and can be studied as patterns or puzzles, such as in the study of prime numbers.

Join Course

Watch More Solved Questions in Chapter 11

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Video Transcript

Okay, so this should be written one over in plus one factorial, we're taking the factorial of n plus one, not taking the factorial of some fraction Mhm. Okay, so for an equals one, we have 1/2 factorial two factorial is just too. That's just one half. So you just need to remember that in factorial is equal to end times in minus one times in minus two all the way down two times one. Okay, so now we have for n equals two went over in plus one factorial. So that's 1/3 factorial. So three factorial is three times two, which is six for n equals three. We have one over four Factorial. Another way that we can do this is four Factorial is the same thing as four times three factorial. So four times six gives us 24. So that's just a shortcut you can use. So for in equals four, we have 1/5 factorial and again, five factorial is the same thing as five times four factorial. So five times 24 is on 20 for n equals five it's 1/6 factorial six factorial is six times five factorial. Hi. Effect. Oil is 1 20. So we get 1/1 70 here, so that gives us the first five terms in our sequence here.

Get More Help with this Textbook