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

araku valley , 14 Years ago
Grade 11
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Badiuddin askIITians.ismu Expert

Last Activity: 14 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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