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  • <img alt="\frac{C_1}{C_0}+2 \frac{C_2}{C_1}+3 \frac{C_3}{C_2}+\ldots .+15 \frac{C_{15}}{C_{14}}=" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7BC_1%7D%7BC_0%7D&plus;2%20%5Cfrac

\frac{C_1}{C_0}+2 \frac{C_2}{C_1}+3 \frac{C_3}{C_2}+\ldots .+15 \frac{C_{15}}{C_{14}}=

 

 

Option: 1

100


Option: 2

120


Option: 3

-120


Option: 4

None of these


Answers (1)

best_answer

We know that

\frac{C_1}{C_0}+2 \frac{C_2}{C_1}+3 \frac{C_3}{C_2}+\ldots .+n \cdot \frac{C_n}{C_{n-1}}=\frac{n(n+1)}{2}

Putting n=15, then

\frac{15 \times(15+1)}{2}=120

Posted by

vishal kumar

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