# Simple series Relation

Algebra Level 3

If $$x\quad = \frac { 1 }{ 1^ 2 } +\frac { 1 }{ 3^ 2 } +\frac { 1 }{ 5^ 2 } .....$$,,,,, $$y\quad =\quad \frac { 1 }{ 1^ 2 } +\frac { 3 }{ 2^ 2 } +\frac { 1 }{ 3^ 2 } +\frac { 3 }{ 4^ 2 } +....$$, $$z\quad =\quad \frac { 1 }{ 1^ 2 } -\frac { 1 }{ 2^ 2 } +\frac { 1 }{ 3^ 2 } -\frac { 1 }{ 4^ 2 } +....$$, then which of the following is true ?

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