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Let $T_n$ be the number of all possible triangles formed by joining vertices of a n−sided regular polygon. If $T_{n+1} − T_{n} = 1$ then the value of n is :

$\begin{array}{1 1} (1) 7 \\(2) 5 \\ (3) 10 \\ (4) 8 \end {array}$

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