Math Problem Statement

a= 1/3 - 1/3^2 + 1/3^3 - 1/3^4 +...+ 99/3^99 - 100/3^100< 3/16

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Series
Alternating Series
Convergence
Power Series
Summation

Formulas

Sum of alternating series
General term of an alternating series: a_n = (-1)^(n+1) n / 3^n

Theorems

Alternating Series Test
Convergence of Series

Suitable Grade Level

Grades 10-12