Given the geometric sequence: 36, 4, 0.444444444444444,... Find an explicit formula for an. an = Find a 14 = Note: Your answer to part one should be a function in terms of n. Your answer to part two should be a decimal, with at least 5 significant figures.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Thanks in advance!!

Given the geometric sequence: 36, 4, 0.444 44444444444,...
Find an explicit formula for an.
an =
Find a 14 =
Note: Your answer to part one should be a function in terms of n. Your answer to part two should be a decimal, with at least 5 significant figures.
Transcribed Image Text:Given the geometric sequence: 36, 4, 0.444 44444444444,... Find an explicit formula for an. an = Find a 14 = Note: Your answer to part one should be a function in terms of n. Your answer to part two should be a decimal, with at least 5 significant figures.
Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?
4+18x + 54x² + 162x³+...
sum=
domain =
(Give your
domain as an interval or comma separated list of intervals; for example, to enter the region x < -1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
Transcribed Image Text:Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 4+18x + 54x² + 162x³+... sum= domain = (Give your domain as an interval or comma separated list of intervals; for example, to enter the region x < -1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning