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Sawtooth Sum Settlement (Posted on 2023-09-17) Difficulty: 3 of 5
Does this relationship hold true for every positive real number n?

{√(1)}+{√(2)}+{√(3)}+...+{√(n2)} ≤ ((n2-1)/12)

• If not, provide an example.
• If so, prove it.

Note: ⌊x⌋ is floor of x, which is the greatest integer less than or equal to x, and: {x} = x-⌊x⌋.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsevidenceJer2023-09-17 11:34:43
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