Math Problem Statement

in figure 1 there is one piece , in figure 2 there are 3 pieces , in figure 3 there are 6 pieces and in figure 4 there are 10 pieces Create an algebraic expression for the number of pieces in figure n create the formula too and show how you created the formula

Solution

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Math Problem Analysis

Mathematical Concepts

Triangular Numbers

Formulas

Triangular number formula T_n = n(n + 1)/2

Theorems

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Suitable Grade Level

Grades 7-9