Q. 224.3( 6 Votes )

Evaluate the foll

Answer :

The given expression can also be written as


…(1)



Now this term is in GP.


2, 4, 8…to n terms


Common Ratio =


Sum of GP for n terms = …(2)


a = 2, r = 2, n = n


Substituting the above values in (2) we get,



2n + 1 – 2.



Now this term is in GP.


1, 3, 9…to n terms


Common Ratio = r =


Sum of GP for n terms = …(2)


a = 1, r = 3, n = n


Substituting the above values in (2) we get,




Now, Adding both these we will get the required solution.


2n + 1 – 2 +


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