# Arithmetic Progression (A.P.) and geometric progression

May 28th, 2015
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1.Sum of first n natural numbers = n(n+1)/2 2.Sum of the squares of first n natural numbers = n(n+1)(2n+1)/6 3.Sum of the cubes of first n natural numbers = [n(n+1)/2]2

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ALGEBRA :1.Sum of first n natural numbers = n(n+1)/22.Sum of the squares of first n natural numbers = n(n+1)(2n+1)/63.Sum of the cubes of first n natural numbers = [n(n+1)/2]24.Sum of first n natural odd numbers = n25.Average = (Sum of items)/Number of itemsArithmetic Progression (A.P.):An A.P. is of the form a, a+d, a+2d, a+3d, ...where a is called the 'first term' and d is called the 'common difference'1.nth term of an A.P. tn = a + (n-1)d2.Sum of the first n terms of an A.P. Sn = n/2[2a+(n-1)d] or Sn = n/2(first term + last term)Geometrical Progression (G.P.):A G.P. is of t

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