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Grade 11Analytical Geometry

how to find the sum of series ∑infinityx=0 4^(-x) geometrically

Profile image of araku valley
16 Years agoGrade 11
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear aruka

∑ 4^(-x)  limit 0 to infinity

=1+1/4 + 1/42 + 1/43 +................

this is a G.P series

first term is =1 ,  and comomon ration =1/4

S=1/(1-1/4)

  =4/3

 

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