What is the value of 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2 ?
Choose the correct choice
A) 6298 B) 6308 C) 6318 D) 6328 E) 6338
the method would seem to be lengthy as it is being explained but is very short actually   second would be to take advantage of proximity to 30 and a set of two numbers giving us 60 as sum..   (27^2 + 33^2) + (29^2 + 31^2) + (32^2 + 28^2)+ 30^2   (60^2-2*27*33) +(60^2-2*29*31)+ (60^2-2*28*32)+ 30^2   3*60^2+30^2-2(27*33+29*31+28*32)   3*60^2+30^2-2((30-3)*(30+3)+(30-1)*(30+1)+(30-2)*(30+2))   3*60^2+30^2-2((30^2-3^2)+(30^2-1^2)+(30^2-2^2))   3*60^2+30^2-6(30^2)+2(3^2+1^2+2^2)   we are interested only in terms where square of multiple of 10 is not involved..   2(9+1+4)=28 so the answer should be something*100+28....this gives us the answer as 6328   ANSWER:6328
<result>D</result>
What is the value of 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2 ?