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The only square number that is also a triangular number is 1. This is because square numbers are of the form n^2, while triangular numbers are of the form (n*(n+1))/2. When setting these two equations equal to each other and solving for n, we find that n=1 is the only integer solution. Therefore, 1 is the only number that is both a square number and a triangular number.
Yes. 1 is both square and triangular.
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7 of the first 15 triangular numbers (462/3 percent) are even.1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120 ...From this fragment of the series, it sure begins to look as if every second pairof triangular numbers are both even, and that 50% of all of them are.
There are many possible answers but the most likely one, for your level, is a triangular prism.