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[" Tangent is drawn at the point "(x_(i),y_(i))" on the curve "y=f(x)," which intersects the "x" -axis at "(x_(i+1),0).],[" Now,again a tangent is drawn at "(x_(i+1),y_(i+1))" on the curve which intersects the "x" -axis at "(x_(i+2),0)" and "],[" the process is repeated "n" times,i.e.,"i=1,2,3,...,n." If "x_(1),x_(2),x_(3),...,x_(n)" form an arithmetic "],[" progression with common difference equal to "log_(2)e" and curve passes through "(0,2)" .Now if curve "],[" passes through the point "(-2,k)," then the value of "k" is "]

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