Infinite continued fraction representation

Shew that $p + \frac{2}{1 +} \frac{1}{p +} \frac{1}{1 +} \frac{1}{p +} \frac{1}{1 +} \dots\dots = p^{2} + 4 p$ .

~15 minProof · checked by AIcontinued fractionssurds

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVII. Recurring Continued Fractions, Examples XXVII.b, No. 8

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