Find the sum :

We can write the above expression as:

The given expression can also be written as

⇒ …(1)

Now for the first term is in GP.

⇒ …upto 10 terms

∴ Common Ratio = r =

∴ Sum of GP for n terms = …(2)

⇒ a = 1, , n = 10

∴ Substituting the above values in (2) we get,

⇒

⇒

⇒

Now for the second term is in GP.

⇒ …upto 10 terms

∴ Common Ratio =

∴ Sum of GP for n terms = …(2)

⇒ , , n = 10

∴ Substituting the above values in (2) we get

⇒

⇒

Total sum

⇒