Math Problem Statement
1 + 2 + 2^2 + 2^3 + β¦ + 2^(π β1) = 2^(π) β 1 solve using mathematical induction
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Sequences and Series
Geometric Series
Formulas
Sum of a geometric series formula: S = a(1 - r^n) / (1 - r)
Formula: 1 + 2 + 2^2 + ... + 2^(n-1) = 2^n - 1
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 11-12
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