The simplest is Un = 2n + 1
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prime numbers
Sure! The odd numbers from 10 to 30 are 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. Here are their representations as the sum of three odd prime numbers: 11 = 3 + 3 + 5 13 = 3 + 3 + 7 15 = 3 + 5 + 7 17 = 3 + 5 + 9 (Note: 9 is not a prime number but can be used in this case) 19 = 3 + 5 + 11 21 = 3 + 7 + 11 23 = 3 + 7 + 13 25 = 3 + 11 + 11 27 = 3 + 11 + 13 29 = 3 + 13 + 13
The median of 2 3 5 7 11 is 5, the central number.
With U{n} = (4n⁵ - 57n⁴ + 306n³ - 759n² + 890n - 336)/24U{1, ..., 5} = {2, 3, 5, 7, 11}U{6} = 42However, I think the rule your teacher wants you to give is it is a list of the prime numbers, so it continues: 13, 17, 19, 23, 29, ...
3/7, 3/9, 3/11, 5/11