Is there a rule that states that, for a decreasing sequence, the sum to n is less than n times the first term (#Sn <= n*u1#)?

Question

Is the statement true, and is there a specific name for that as a rule?

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Answer 1 · 2018-03-04T19:11:51

Yes, it is true.

Add any #n# numbers, the sum is less than or equal to #n# times the greatest number.

I guess that it is a "rule".

I've never heard a name for this fact.