Prove that the equation is true for all positive integers

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Reference no: EM131584766

Question: 1. Show that the sum of the interior angles of any n-gon (a polygon with n sides) is π(n - 2). Notice that such polygons may be wildly irregular and even non convex.

2. Write the equation

1 + 3 + 6 + 10 +. . . . +(n(n + 1)/2) = (n(n + 1)(n + 2)/6)

using summation notation. Prove that the equation is true for all positive integers n by using induction.

Reference no: EM131584766

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