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Grade 11Algebra

sum of the series : 1^2-2^2+3^2-4^2.....+2019^2-2020^2 is

Profile image of KAUSHIK SUBRAHMANIAN
10 Years agoGrade 11
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1 Answer

Profile image of ronit
10 Years ago
12-22+32-42…..+20192-20202
(1+2)(1-2)+(3+4)(3-4)........+(2019+2020)(2019-2020)
-(3+7+............+4039
using arithmetic progressions,we get -2041210
ANSWER= -2041210