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Prove the following by the principle of mathematical induction: `1/(3. 7)+1/(7. 11)+1/(11. 15)++1/((4n-1)(4n+3))=n/(3(4n+3))`

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Given,
`P (n) = 1/(3.7) + 1/(7.11) + 1/(11.15) + … + 1/((4n - 1)(4n + 3)) = n/(3(4n + 3)) `
For `n = 1,` `P (1): 1/(3.7) = 1/((4.1 - 1)(4 + 3)) : 1/(21 )= 1/(21)`
`P (n) ` is true for `n =1 `
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