Given \( r_{n+1}-r_{n-1}=2 r_{n} \), where \( r_{n}, r_{n-1}, r_{n+...

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Given \( r_{n+1}-r_{n-1}=2 r_{n} \), where \( r_{n}, r_{n-1}, r_{n+1} \) are Bohr radius for hydrogen atom in
\( \mathrm{P} \) \( n^{\text {th }},(n-1)^{\text {th }} \) and \( (n+1)^{\text {th }} \) shell respectively. Calculate the value of \( n \).

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