N-1C1-n-1C2-n-1C3-n-1Cn-

The correct option is B #10; 2(2^n 1) #10;As in the hint required expression + ^n+1C_0 + ^n+1C_n+1 = 2^n+1 = gt; #160;required. expres ...

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Sum of Coefficients of All Terms

n+1C1+n+1C2+n...

Question

$^{(n + 1)} C_{1} +^{(n + 1)} C_{2} +^{(n + 1)} C_{3} + \dots . . +^{(n + 1)} C_{n} =$

2 (2^{n} + 1)

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2 (2^{n} - 1)

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2^{n + 1}

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(2^{n + 1} - 1)

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Similar questions

c_{0}, c_{1}, c_{2}

(1 + x)^{n}

c_{1} + c_{1} c_{2} + c_{2} c_{3} + . . . . . . . c_{n - 1} c_{n} = \frac{(2 n)!}{(n + 1)! (n - 1)!}

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + \dots + C_{n} x^{n},

\sum \sum 0 \leq r < s \leq n (r + s) C_{r} C_{s}

C_{0} + \frac{C_{1}}{2} + \frac{C_{2}}{3} + \frac{C_{3}}{4} + . . . . + \frac{C_{n}}{n + 1} = \frac{2^{n + 1} - 1}{(n + 1)}

S_{n} = 1 + q + q^{2} + q^{3} + . . . + q^{n}

{S^{'}}_{n} = 1 + (\frac{q + 1}{2}) + {(\frac{q + 1}{2})}^{2} + . . . + {(\frac{q + 1}{2})}^{n}, q \neq 1

^{n + 1} C_{1} +^{n + 1} C_{2} . S_{1} +^{n + 1} C_{3} . S_{2} + . . . +^{n + 1} C_{n + 1} . S_{n} =

{lim}_{n \to \infty} (\frac{n}{(n + 1) \sqrt{2 n + 1}} + \frac{n}{(n + 2) \sqrt{2 (2 n + 2)}} + \frac{n}{(n + 3) \sqrt{3 (2 n + 3)}} . . . . . + \frac{1}{2 n \sqrt{3}})

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