1²-2²+3²-4²+5²-.100²+101²
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1²-2²+3²-4²+5²-.100²+101²
1²-2²+3²-4²+5²-.100²+101²
1²-2²+3²-4²+5²-.100²+101²
1²-2²+3²-4²+5²-.100²+101²
=1+(3+2)(3-2)+(5+4)(5-4)+.+(100+101)(101-100)
=1+2+3+.+100+101
=5050+101
=5151
1^2-2^2+3^2-4^2+5^2-…-98^2+99^2-100^2+101^2
=(1-2)*(1+2) + (3-4)*(3+4) + ... +(99-100)*(99+100) + 101^2
= - (1+2+...+100) + 101^2
= 5151