Given a number n, solve the equation x^2 + x - 2n = 0.If n is a triangular number then one solution for x will be a positive integer. Then n is the xth triangular number.
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The 81st triangular number is 3321 The nth triangular number is given by tn = n(n+1) ÷ 2 The 81st triangular number is: t81 = 81(81+1) ÷ 2 = 3321
The nth triangular number is given by: Tn = n(n + 1)/2 → T{14} = 14(14 + 1)/2 = 105
The nth triangular number is n*(n+1)/2 for n = 1, 2, 3, ...In order to figure out if a given number, K, is triangular or not, you need to be able to solve the quadraticn2 + n - 2k = 0If the solution is a positive integer then the number is a triangular number.
Is 63 a triangular number I think it is a triangular number.
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