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in Combinatorics and Mathematical Induction by (49.2k points)
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Using the Mathematical induction, show that for any natural number n ≥ 2,

(1/(1 + 2)) + (1/(1 + 2 + 3)) + (1/(1 + 2 + 3 + 4)) + ... + (1/(1 + 2 + 3 + ... + n)) = (n - 1)/(n + 1)

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by (47.0k points)
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Let P(n) is the statement 

⇒ P(k + 1) is true when P(k) is true so by the principle of mathematical induction P(n) is true for n ≥ 2.

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