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Posted: **Sat Feb 26, 2022 10:53 am**

: Use Exercise 3 To Show That If The First 10 Strictly Positive Integers Are Placed Around A Circle In Any Order Then Th 1 (21.27 KiB) Viewed 16 times

here is exercise 3:

: Use Exercise 3 To Show That If The First 10 Strictly Positive Integers Are Placed Around A Circle In Any Order Then Th 2 (24.92 KiB) Viewed 16 times

Use Exercise 3 to show that if the first 10 strictly positive integers are placed around a circle, in any order, then there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17.

Exercise 3 (10 points) Let n be a natural number and let a1, A2, ..., an be a set of n real numbers. Prove that at least one of these numbers is greater than, or equal to the average of these numbers. What kind of proof did you use?