Select the sum of the series: Σ^5∨k-1^k^2 a. 55 b. 56 c. 200 d. 225 12/23/2013 | Christine from Indianapolis, IN | 3 Answers | 0 Votes Mark favorite Subscribe Comment
I think Michael’s guess is correct. I’d write it this way: sum[k=1,5][k^2]. (See page 3 of http://www.purplemath.com/modules/mathtext.htm) Let’s see if we can solve this without using a formula. S = sum[k=1,5][k^2] = 1^2 + 2^2 + 3^2 + 4^2 + 5^2. S = (1 + 4) + (9 + 16) + 25 S = 5 + (25 + 25) S = 5 + 50 S = 55. 12/24/2013 | Steve S. Comment
Wild guess Σ_{k=1}^{k=5} k^{2}, the sum of the squares of the first five natural numbers. =(5)(5+1)(2×5+1)⁄6=55 The general formula is Σ_{k=1}^{k=n} k^{2}=(n)(n+1)(2n+1)/6 12/23/2013 | Michael F. Comment Comments Students should learn how to write problems properly. The way they write causes more confusion. 12/25/2013 | Parviz F. Comment
Students should learn how to write problems properly. The way they write causes more confusion. 12/25/2013 | Parviz F.
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