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The sequence a(1),a(2),a(3),".......," i...

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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To solve the problem step by step, we will analyze the given geometric sequences and their properties. ### Step 1: Identify the sequences We have two geometric sequences: 1. \( a_1, a_2, a_3, \ldots \) with \( a_1 = \sqrt[4]{28} \) and common ratio \( r \). 2. \( b_1, b_2, b_3, \ldots \) with \( b_1 = 1 \) and \( b_2 = \sqrt[4]{7} - \sqrt[4]{28} + 1 \). ### Step 2: Find the common ratio for sequence B ...
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