The Value Of The Expression C1/C0 + 2C2/C1 + 3C3/C2 ... - Numerade
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The value of the expression C1/C0 + 2C2/C1 + 3C3/C2 + ......... + nCn/Cn - 1 is A. (n + 1)(n + 2)² B. n(n + 1)² C. n(n - 1)² D. n(n + 2)² The value of the expression C1/C0 + 2C2/C1 + 3C3/C2 + ......... + nCn/Cn - 1 is A. (n + 1)(n + 2)² B. n(n + 1)² C. n(n - 1)² D. n(n + 2)²Added by Julie B.
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........ + nCn/Cn - 1 as n + (n-1) + (n-2) + ... + 1. Show more…
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The value of $2\left({ }^{\mathrm{n}} C_{0}\right)+\frac{3}{2}\left({ }^{\mathrm{n}} C_{1}\right)+\frac{4}{3}\left({ }^{\mathrm{n}} \mathrm{C}_{2}\right)+\frac{5}{4}\left({ }^{\mathrm{n}} \mathrm{C}_{3}\right) \ldots$.is (A) $\frac{2^{n}(1-n)-1}{n+1}$ (B) $\frac{2^{n}(n+3)-1}{n+1}$ (C) $\frac{2^{n}-1}{n+1}$ (D) $\frac{2^{n}+2}{n-1}$
If $\mathrm{N}>\mathrm{n}>1$, then the value of $\sum_{\lambda=0}^{\mathrm{N}}{ }^{\lambda+\mathrm{n}-1} \mathrm{C}_{\mathrm{n}-1}$ is equal to (a) 1 (b) ${ }^{\mathrm{N}} \mathrm{C}_{\mathrm{n}+1}$ (c) $\mathrm{N}+\mathrm{n} \mathrm{C}$ (d) ${ }^{N+n-1} C_{n-1}$
If the value of $1+2+3+\ldots \ldots+n$ is 55 , then the value of $1^{3}+2^{3}+3^{3}+\ldots+n^{3}$ is (a) 165 (b) 385 (c) 3025 (d) 555
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