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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 7T
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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].)
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