Evaluate the following :

Question

Philoid · Accepted Answer

The given expression can also be written as

⇒ …(1)

⇒ [∵ ]

Now this term is in GP.

3, 9, 27…to 11 terms

∴ Common Ratio = r =

∴ Sum of GP for n terms = …(2)

⇒ a = 3, r = 3, n = 11

∴ Substituting the above values in (2) we get

⇒

⇒ 531438/2

⇒ 265719.

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

∴ 22 + 265719

⇒ 265741