Find the 5th term from the end in the expansion of .

To Find : 5th term from the end


Formulae :




For ,


a=x, and n=12


As n=12 ,therefore there will be total (12+1)=13 terms in the expansion


Therefore,


5th term from the end = (13-5+1)th i.e. 9th term from the starting.


We have a formula,



For t9 , r=8




……….




Therefore, a 5th term from the end


Conclusion : 5th term from the end


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