Polynomials Q6
Qn: Sum of squares of nos.
(a) 9455 (b) 5456
(c) 3468 (d) 4892
What is the sum of 12 + 32 + 52 …….312?
Soln: Sum of squares of nos.
This Expression is same as (12 + 22 + 32 + 42 + 52 …….302 + 312) – (22 + 42 + 62
….302)
= (12...
of 3

Polynomials - Sum of squares of numbers

Given a sequence, find the sum of the series. This can be done by simplifying the equation to a more generic series.
Published on: Mar 4, 2016
Published in: Education      
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Transcripts - Polynomials - Sum of squares of numbers

  • 1. Polynomials Q6
  • 2. Qn: Sum of squares of nos. (a) 9455 (b) 5456 (c) 3468 (d) 4892 What is the sum of 12 + 32 + 52 …….312?
  • 3. Soln: Sum of squares of nos. This Expression is same as (12 + 22 + 32 + 42 + 52 …….302 + 312) – (22 + 42 + 62 ….302) = (12 + 22 + 32 + 42 + 52 …….302 + 312) – 4(12+ 22 + 32 ….152) 12 + 22 + 32 +.......... + n2 = n(n+1)(2n+1) 6 , for all n > 1. Expresssion = 31 x 32 x 63 6 - 4 x 15 x 16 x 31 6 = 31 x 32 x 33 6 = 31 × 11 × 16 = 5456 Answer choice (b) What is the sum of 12 + 32 + 52 …….312?