Question

The sum of several numbers is equal to `1`. Is it possible that the sum of their squares is less than one-tenth?

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Proof and Example -> Constructing an Example / Counterexample Algebra -> Sequences Arithmetic -> Fractions Algebra -> Inequalities -> Averages / Means Minimum and Maximum Problems / Optimization Problems
Sources:
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