Math Problem Statement
Prove, by mathematical induction, that for all positive integers n, each of the following propositions 1+3+3^2+…+3^n-1=(3^n-1/2)
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Algebra
Geometric Series
Formulas
Sum of a geometric series: a + ar + ar^2 + ... + ar^(n-1) = (a(r^n - 1))/(r - 1)
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 10-12
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