Question: Triangular numbers (T n ) are defined by the number of dots that occur when arranged in equilateral triangles, as shown in Figure 7.5. Show

Triangular numbers (T_n) are defined by the number of dots that occur when arranged in equilateral triangles, as shown in Figure 7.5. Show that T_n = 1/2n(n + 1) for every positive integer n.

Figure 7.5 Triangular numbers.

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