Cn+1 2n+22nCn+2nCn-1=

Cn+1 2n+22nCn+2nCn-1=2nCn+1+2nCn+2nCn+2nCn-1=2n+1Cn+1+2n+1Cn=Cn+1 2n+2

Cn+1 2n+22nCn+2nCn-1=

Cn+1 2n+22nCn+2nCn-1=2nCn+1+2nCn+2nCn+2nCn-1=2n+1Cn+1+2n+1Cn=Cn+1 2n+2

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${}^{2 n}C_{n + 1} + 2^{2 n} C_{n} +^{2 n} C_{n - 1} =$

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${}^{2 n + 1}C_{n}$

${}^{2 n + 2}C_{n + 1}$

${}^{n + 1}C_{n + 1}$

${}^{n}C_{n}$

answer is A.

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${}^{2 n}C_{n + 1} + 2^{2 n} C_{n} +^{2 n} C_{n - 1}$

$=^{2 n} C_{n + 1} +^{2 n} C_{n} +^{2 n} C_{n} +^{2 n} C_{n - 1}$

$=^{2 n + 1} C_{n + 1} +^{2 n + 1} C_{n}$

$= {}^{2 n + 2}C_{n + 1}$

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Cn+1 2n+22nCn+2nCn-1=

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${}^{2 n}C_{n + 1} + 2^{2 n} C_{n} +^{2 n} C_{n - 1} =$