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Q.If (1+x+x2)n=a0+a1x++a2nx2n(1 + x + x^2)^{n} = a_0 + a_1 x + \cdots + a_{2n} x^{2n}, then a1+a3+a_1 + a_3 + \cdots equals

a
3n13^n - 1
b
3n12\dfrac{3^n - 1}{2}
c
3n+12\dfrac{3^n + 1}{2}
d
3n13^{n-1}

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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