Math Problem Statement
Prove, by mathematical induction, that for all positive integers n, each of the following propositions. 1×4+2×7+3x10+...+n(3n+1)=n(n+1)^2
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Algebraic Sequences
Summation of Series
Formulas
Summation formula: 1×4 + 2×7 + 3×10 + ... + n(3n+1) = n(n+1)^2
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 11-12
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