Squares in Fractions
Calculate:
-(1^{2}+3^{2}+...+97^{2}&space;+99^{2})}{1+2+...+99+100} "\frac{(2^{2}+4^{2}+...+98^{2}+100^{2})-(1^{2}+3^{2}+...+97^{2} +99^{2})}{1+2+...+99+100}")
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A similar problem was given in Assignment 3 (Level M) of Charlotte Math Meetup:
Calculate:
-(1^{2}+3^{2}+...+97^{2}&space;+99^{2})}{1+2+3+...8+9+10+9+8+...+3+2+1} "\frac{(2^{2}+4^{2}+...+98^{2}+100^{2})-(1^{2}+3^{2}+...+97^{2} +99^{2})}{1+2+3+...8+9+10+9+8+...+3+2+1}")
.
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A similar problem was given in Assignment 3 (Level M) of Charlotte Math Meetup:
Calculate: