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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: progression
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ishan (0)

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sum 2 infinity
(3/1^3)+(5/1^3+2^3)+(7/1^3+2^3+3^3)+......
a)3 b)4 c)5 d)6
 
 
 
 
 
 
 
 
 
 
 
    
vinu (524)

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Hi ishan,
The rth term is.....(2r+1) / (13+23+...r3) ;
= 4(2r+1) / { r2(r+1)2 }  ;
= 4 { 1/r2 - 1/(r+1)2 } ;
 
[r=1][n] (2r+1) / (13+23+...r3) = 4{1 - 1/(n+1)2 } ;
                                          = 4 {as n->infinity }.
Option b)'s the ans.
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