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Home » We seek the smallest positive integer \( n \) such that: - ToelettAPP

We seek the smallest positive integer \( n \) such that: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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Solution:** For a right triangle, the Pythagorean theorem states:
c^2 = a^2 + b^2
where \(c\) is the hypotenuse, and \(a\) and \(b\) are the legs. Subst...
c^2 = 6^2 + 8^2 = 36 + 64 = 100
Taking the square root of both sides:
c = \sqrt{100} = 10
Thus, the length of the hypotenuse is \(\boxed{10}\).**Question:
To compute the sum \(\sum_{k=1}^{50} \frac{1}{k(k+1)}\), we can use pa...
Multiplying through by \(k(k+1)\) gives:
= A(k+1) + Bk = Ak + A + Bk

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