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For a positive integer n, the nth  triangular number is T(n) = n(n + 1)/2. For example, T(3) = 6, so the third triangular number is 6.

Determine the smallest integer b > 100 such that T(b + 1) - T(b) = T(x) for some positive integer x.

 Jan 10, 2021
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As follows:

 

 Jan 10, 2021

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