All Questions
Tagged with sumset sequences-and-series
4
questions
1
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0
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101
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Rewriting a set of integers to get rid of repetition but keeping subset sum ordering
Say, I have a set of 6 +ve integers sorted in ascending order:
$A = \{2,4,4,4,5,7\}$
Now to make it easier to deal with (Minimum one starts with 1) I deducted one from all of them:
$\therefore B= ...
5
votes
2
answers
497
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Finding elements such that none add to a perfect square
Bob asks us to find an infinite set $S$ of positive integers such that the sum of any finite number of distinct elements of S is not a perfect square.
Can Bob's request be fulfilled?
I can find some ...
0
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0
answers
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Nr of monthly eggs that have converted to chickens based on nr of months
I get 1 egg per month every month, which convert to chickens in time t (e.g 9 or 15 months) from when I got the egg with probability P. Given a specific month, e.g 97, how many chickens do I have?
3
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3
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$\lim_{n\to\infty} \sum_{k=1}^n \frac{k!}{n!}$
I'm presented with the limit $\lim_{n\to\infty}\sum_{k=1}^{n} \frac{k!}{n!}$
I've got a hunch that it diverges to infinity but I wasn't able the prove that the sum is superior to a series diverging ...