Q4 of 70 Page 379

Show that the middle term in the expansion of is 252.

To show: that the middle term in the expansion of is 252.


Formula Used:


General term, Tr+1 of binomial expansionis given by,


Tr+1 nCr xn-r yr where


nCr


Total number of terms in the expansion is 11


Thus, the middle term of the expansion is T6 and is given by,


T6 10C5


T6 10C5


T6


T6=252


Thus, the middle term in the expansion of is 252.


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