frac{1}{1 ! 50 !}+frac{1}{3 ! 48 !}+frac{1}{5 | vedclass

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Question

$\sum \limits_{ r =1}^{26} \frac{1}{(2 r -1) !(51-(2 r -1)) !}=\sum \limits_{ r =1}^{26}{ }^{51} C _{(2 r -1)} \frac{1}{51 !}$

$=\frac{1}{51 !}\lef

Vedclass · Accepted Answer

$\frac{2^{50}}{51 !}$

Vedclass · Answer

$\sum \limits_{ r =1}^{26} \frac{1}{(2 r -1) !(51-(2 r -1)) !}=\sum \limits_{ r =1}^{26}{ }^{51} C _{(2 r -1)} \frac{1}{51 !}$

$=\frac{1}{51 !}\left\{{ }^{51} C _1+{ }^{51} C _3+\ldots .+{ }^{51} C _{51}\right\}$

$=\frac{1}{51 !}\left(2^{50}\right)$

$\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}$ ની કિમંત મેળવો.

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