Math Problem Statement
a= 1/3 - 1/3^2 + 1/3^3 - 1/3^4 +...+ 99/3^99 - 100/3^100< 3/16
Solution
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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
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