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Show that the middle term in the expans...

Show that the middle term in the expansion of `(1+ x)^(2n)` is `(1.3.5…(2n-1) )/( n!). 2^(n) . x^(n)`, where `n in N`.

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
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  11. In the binomial expansion of (1+a)^(m+n) , prove that the coefficient ...

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  12. Prove that the coefficients of x^n in (1+x)^(2n) is twice the coeffici...

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  18. If the fourth term in the expansion of (a x+1/x)^n \ is \ 5/2,\ then ...

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  20. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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