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The sequence `a_(1),a_(2),a_(3),".......,"` is a geometric sequence with common ratio r. The sequence `b_(1),b_(2),b_(3),".......,"` is also a geometric sequence. If `b_(1)=1,b_(2)=root4(7)-root4(28)+1,a_(1)=root4(28)" and "sum_(n=1)^(oo)(1)/(a_(n))=sum_(n=1)^(oo)(1)/(b_(n))`, then the value of `(1+r^(2)+r^(4))` is

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The sequence a_(1),a_(2),a_(3),".......," is a geometric sequence with common ratio r . The sequence b_(1),b_(2),b_(3),".......," is also a geometric sequence. If b_(1)=1,b_(2)=root4(7)-root4(28)+1,a_(1)=root4(28)" and "sum_(n=1)^(oo)(1)/(a_(n))=sum_(n=1)^(oo)(b_(n)) , then the value of (1+r^(2)+r^(4)) is

The sequence a_(1),a_(2),a_(3),".......," is a geometric sequence with common ratio r . The sequence b_(1),b_(2),b_(3),".......," is also a geometric sequence. If b_(1)=1,b_(2)=root4(7)-root4(28)+1,a_(1)=root4(28)" and "sum_(n=1)^(oo)(1)/(a_(n))=sum_(n=1)^(oo)(b_(n)) , then the value of (1+r^(2)+r^(4)) is

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