Given the geometric sequence {a;} = {1000, 900, 810, 729,...}(a) Determine a40, the 40th term. Round to the nearest thousandth.140(b) Determine S40ai, (the sum of the first 40 terms). Round to the nearestthousandth.(c) Does the infinite sum E1 a; exist? Explain briefly.(d) Assume the infinite sum E, a; exists, find the value of E, a;

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Description: Given the geometric sequence {a;} = {1000, 900, 810, 729,...}(a) Determine a40, the 40th term. Round to the nearest thousandth.140(b) Determine S40ai, (the sum of the first 40 terms). Round to the nearestthousandth.(c) Does the infinite sum E1 a; ex

Given,geometric sequence,1000, 900, 810, 729.....This is geometric progression,therefore,first…

Math

Calculus

Given the geometric sequence {a;} = {1000, 900, 810, 729,...} (a) Determine a40, the 40th term. Round to the nearest thousandth. (b) Determine S40 = E, a;, (the sum of the first 40 terms). Round to the nearest thousandth. (c) Does the infinite sum E, a; exist? Explain briefly.

Given the geometric sequence {a;} = {1000, 900, 810, 729,...} (a) Determine a40, the 40th term. Round to the nearest thousandth. (b) Determine S40 = E, a;, (the sum of the first 40 terms). Round to the nearest thousandth. (c) Does the infinite sum E, a; exist? Explain briefly.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.3: Geometric Sequences And Series

Problem 5ECP: The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the eighth term....

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