lolo2001
lolo2001
17-09-2017
Mathematics
contestada
Find The sun of 2-3+9/2-27/4+.....-177147/1024
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caylus
caylus
17-09-2017
Hello,
[tex]s=2-3+ \dfrac{9}{2} - \dfrac{27}{4} +...- \dfrac{177147}{1024} \\\\ =2(1- \dfrac{3}{2} + \dfrac{3^2}{2^2} - \dfrac{3^3}{2^3}+...- \dfrac{3^{11}}{2^{11}} )\\\\ =2( \dfrac{1- (\dfrac{-3}{2})^{12}}{1+ \dfrac{3}{2} } )\\\\ =2( \dfrac{2^{12}-3^{12}}{ \dfrac{5}{2} } )\\\\ = \dfrac{4}{5*4096} *(-527345)=-102,9970703125[/tex]
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