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Write the sequence formed by the number of diagonals from a vertex of a triangle, a quadrilateral, a pentagon etc. What is its algebra? |
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Answer» Diagonal drawn from one vertex of a triangle = 0 = 3 – 3 = 0 Diagonal drawn from one vertex of a quadrilateral = 4 – 3 = 1 Diagonal drawn from one vertex of a pentagon = 5 – 3 = 2 Diagonal drawn from one vertex of a n sided polygon = n – 3 Sequence of number of diagonals 0, 1, 2, 3, 4, ………. Algebraic expression xn = n – 3 |
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