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Prove that 1+2+3+....+n=1/2n(n+1) by using the principle of mathematical Induction

Prove the statement \[ 1 + 2 + 3 + \dots + n = \frac{1}{2} n (n+1) \] by using the principle of mathematical induction. Proof: Let...
Prove the 2+4+6+...+2n=n(n+1) by using the principle of mathematical Induction

Proof: Let \[ P(n) \] be the statement: \[ 2 + 4 + 6 + \dots + 2n = n(n+1) \] Basic Step: For \[ n=1 \] \[ \te...

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Mathematical Induction

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