Math Problem Statement
1 Using induction, show that k ∑ i=0 i = k(k + 1) 2 for all k ∈ N.
Solution
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Math Problem Analysis
Mathematical Concepts
Mathematical Induction
Summation of Integers
Number Theory
Formulas
Sum of first k integers: ∑ i=0^k i = k(k+1)/2
Theorems
Principle of Mathematical Induction
Suitable Grade Level
Grades 11-12 or early college
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