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NDA2022MathematicsBinomial TheoremActual

In the expansion of (x+ 1 x )^ 2 n , what is the (n+1) th term from the end (when arranged in descending powers of x )?

Options

  1. AC(2 n, n) x
  2. BC(2 n, n-1) x
  3. CC(2 n, n)
  4. DC(2 n, n-1)

Correct answer

C. C(2 n, n)

Step-by-step solution

(x+1)^ th term from the end of expression ( x + 1 x )^ 2 n =( n +1)^ th term from begining of expression ( 1 x +x )^ 2 n ( n +1)^ lh term of ( 1 x + x )^ 2 n is T _ n +1 = ^ 2 n C _ n ( 1 x )^ n x ^ n = ^ 2 n C _ n

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