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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