What is the difference between an infinite sequence and an infinite series?
The difference between an infinite sequence and an infinite series.
Answer to Problem 1RE
The sequence is
Explanation of Solution
An infinite sequence is simply the numbers written in sequence separated by a comma. An infinite sequence is simply the sequence of numbers up to
An infinite series is the sum of numbers upto infinity. Infinite series is a sub-part of an infinite sequence.
Consider the example.
The sequence is
Hence, the sequence is
Want to see more full solutions like this?
Chapter 9 Solutions
EBK CALCULUS EARLY TRANSCENDENTALS
Additional Math Textbook Solutions
Calculus: Single And Multivariable
Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus
University Calculus: Early Transcendentals (3rd Edition)
- What is an arithmetic sequence?arrow_forwardFind the eighteenth term of a sequence where the first term is 13 and the common differences is -7.arrow_forwardFind the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference is three. Then find a formula for the general term.arrow_forward
- Find the twentieth term of an arithmetic sequence where the first term is two and the common difference is -7.arrow_forwardFind a general term for the sequence whose first five terms are shown. 3,9,27,81,243,....arrow_forwardFind the first term and common difference of an arithmetic sequence whose ninth term is -1 and the sixteenth term is -15. Then find a formula for the general term.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning