No, it is just a suare number
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No. ---- The nth triangular number (n must be a whole number > 0) is given by: tn = 1/2 n(n+1) Testing for 49: 1/2 n(n+1) = 49 → n2 + n - 98 = 0 → n = (-1 ± √393)/2 but 393 is not a square number, so n cannot be a whole number which it must be for a triangular number; thus 49 is not a triangular number.
144 is a square number, not a triangular number.
1, the first triangular number, is also a square.
It is 13 squared, but it's not a triangular number
A number, t, is a triangular number if (1 + 8t) is a square of an odd number.