G = 2016^2 – 2015^2 + 2014^2 – 2013 ^2 + 2012^2 – 2011^2 + 2^2 – 1^2 h) cho M = 99^2 + 97^2 + 95^2 + … +5^2 + 3^2 + 1^2 N = 98^2 + 96^2

0 bình luận về “G = 2016^2 – 2015^2 + 2014^2 – 2013 ^2 + 2012^2 – 2011^2 + 2^2 – 1^2 h) cho M = 99^2 + 97^2 + 95^2 + … +5^2 + 3^2 + 1^2 N = 98^2 + 96^2”

1. TL:

   $G = 2016^2 – 2015^2 + 2014^2 – 2013 ^2 + 2012^2 – 2011^2 + 2^2 – 1^2$ 

   $( 2016  – 2015 )( 2016 + 2015)+(2014-2013)(2014+2013)+( 2-12-2011)(2012+2011)+3 = 4031 + 4027 + 4023 + 3 = 12084$ 

   h)$M-N= 99^2 – 98^2 + 97^2 – 96^2 + 95^2 – … + 3^2 – 2^2 + 1 $ 

   $M-N=(99-98)(99+98)+…+(3-2)(3+2)+1$ 

   $M-N= 99 = 98 + 97 + … + 5 + 4 + 3 + 2 + 1 -9$ 

   $M-N= $ $\frac{99+1}{2}-9 = 4941 => M – N + 50 = 4991 $ 

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2. Em tham khảo nhé:

   G=$2016^{2}-$$2015^{2}+$$2014^{2}-$$2013^{2}+$$2012^{2}-$$2011^{2}+$$2^{2}-1$       

   G=$(2016-2015)(2016+2015)+(2014-2013)(2014+2013)+(2012-2011)(2012+2011)+(2-1)(2+1)$

   G=$4031+4027+4023+3$

   G=$12084$

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