The middle term in the expansion ,of $$x+12x2n$$ is

Correct option is 21⋅3⋅5…(2n−1)n!

Questions

The middle term in the expansion ,of ${(x + \frac{1}{2 x})}^{2 n} is$

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1⋅3⋅5…(2n−3)n!

1⋅3⋅5…(2n−1)n!

1⋅3⋅5…(2n+1)n!

None of the above

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detailed solution

Correct option is B

Given expression is x+12x2n∴ Middle term =2nCn(x)n12xn=2n!n!n!2n=1⋅3⋅5…(2n−1)n!

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The middle term in the expansion ,of x+12x2n is

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The middle term in the expansion ,of ${(x + \frac{1}{2 x})}^{2 n} is$