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The expression for the number of dots in the nth figure often depends on the pattern of the figures. For example, if the figures form a triangular pattern, the number of dots can be expressed as ( T_n = \frac{n(n+1)}{2} ), where ( T_n ) represents the nth triangular number. If the pattern is linear or quadratic, the formula will differ accordingly, such as ( D_n = n^2 ) for a square pattern or ( D_n = n ) for a simple line of dots. You would need to specify the pattern to determine the exact expression.

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4mo ago

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