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
⇒