\sum _{n=1}^{2024}\:\sqrt{n+1}-\sqrt{n}

asked by guest
on Jan 26, 2025 at 11:12 pm



You asked:

Evaluate the expression: ∑n=12024n+1−n\sum_{n = 1}^{2024} {\sqrt{n + 1} - \sqrt{n}}

MathBot Answer:

∑n=12024(−n+n+1)=44\sum_{n=1}^{2024} \left(- \sqrt{n} + \sqrt{n + 1}\right) = 44

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