Prove 1 2 3 ... n = n(n 1)/2 - Mathematical Induction
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Prove 1 2 3 ... n = n(n 1)/2 - Mathematical Induction
Prove 1 2 3 ……. n = (𝐧(𝐧 𝟏))/𝟐 for n, n is a natural numberStep 1: Let P(n) : (the given statement)Let P(n): 1 2 3 ……. n = (n(n 1))/2 Step 2: Prove for n = 1 For n = 1, L.H.S = 1 R.H.S = (𝑛(𝑛 1))/2 = (1(1 1))/2 = (1 × 2)/2 = 1 Since, L.H.S. = R.H.S ∴ P(n) i
Dec 16, 2024
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