Question:medium
Let \( T_n \) denote the number of triangles which can be formed by using the vertices of a regular polygon of \( n \) sides. If \( T_{n+1} - T_n = 36 \), then \( n \) is equal to:
Let \( T_n \) denote the number of triangles which can be formed by using the vertices of a regular polygon of \( n \) sides. If \( T_{n+1} - T_n = 36 \), then \( n \) is equal to:
Show Hint
$\binom{n}{2}$ represents the number of handshakes among $n$ people or the number of lines between $n$ points. If you know that 36 lines can be formed from 9 points, you can solve this instantly.
Updated On: May 6, 2026
- \( 2 \)
- \( 5 \)
- \( 6 \)
- \( 8 \)
- \( 9 \)
Show Solution
The Correct Option is
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