Yes.
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The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.The average of the first n even numbers is n+1, so 101.
The sum of the first n natural numbers is n*(n+1)/2 There are n numbers so their mean = (n+1)/2
Although the sum of two numbers equals their product for only one certain value (apart from 0 of course), multiplication may be considered as a short-cut way to perform a string of additions. I'll leave you to deduce that singular value N for which N + N = N X N.
I have no idea about trainglar numbers. Triangular numbers are numbers of the form n*(n+1)/2 where n is an integer.
For any set of numbers n-1, n, and n+1, the average will be n. For example, if the numbers are 18, 19, 20, the average will be 19.