SOLUTION: the sum of n terms of 1²/1 + (1²+2²)/2 + (1²+2²+3²)/3+.......is a)(n/36)(4n²+15n+17) b) (n/36)(4n²-15n-17) c)(n/36)(4n²-15n+17) d) none

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Question 941377: the sum of n terms of 1²/1 + (1²+2²)/2 + (1²+2²+3²)/3+.......is
a)(n/36)(4n²+15n+17) b) (n/36)(4n²-15n-17) c)(n/36)(4n²-15n+17) d) none

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
the sum of n terms of 1²/1 + (1²+2²)/2 + (1²+2²+3²)/3+.......is
a)(n/36)(4n²+15n+17) b) (n/36)(4n²-15n-17) c)(n/36)(4n²-15n+17) d) none


Substituting sum of first k squares: 


















Since , and factoring out constants,



Since , and 







Getting an LCD





Factor out n in the top, multiplying the two 6 denominators:











Edwin

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