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masha20009
@masha20009
July 2022
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Найдите 6-й и n-й член геометрической прогрессии:3) -0,001; -0,01;...
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koba80
-0,001. -0,01
b1=-0,001
b2=-0,01
n-1
bn=b1×q
2-1
b2=b1×q =b1×q
q=b2/b1
q=-0,01/-0,001=10
6-1
b6=b1×q. =-0,001×10^5=-10^(-3)×10^5=-10^2=-100
bn= =b1×q^(n-1)=-0,001×10^(n-1)=-10^(-3)×10^(n-1)=-10^(-3+n-1)=-10^(n-4)
bn=-10^(n-4)
ответ: b6=-100, bn=-10^(n-4)
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Answers & Comments
b1=-0,001
b2=-0,01
n-1
bn=b1×q
2-1
b2=b1×q =b1×q
q=b2/b1
q=-0,01/-0,001=10
6-1
b6=b1×q. =-0,001×10^5=-10^(-3)×10^5=-10^2=-100
bn= =b1×q^(n-1)=-0,001×10^(n-1)=-10^(-3)×10^(n-1)=-10^(-3+n-1)=-10^(n-4)
bn=-10^(n-4)
ответ: b6=-100, bn=-10^(n-4)