## Prove that the 1+3+5+…+(2n-1)=n^2 for every positive integer

Given 1 + 3 + 5 + 7 + ⋯ + (2n-1) = n2 ∀ n ∈ N Proof We will prove the statement by mathematical induction. STEP 1 In this step, we check if the statement is true for n = 1. LHS = 1 + 3 + 5 + 7 + ⋯ + …

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