Answer:

Step-by-step explanation:
Given:

To Find:
Sum of the given finite series
Solution:
We'll use this formula:

where,
- a = first term
- r = ratio in between terms
Let's find out the ratio R by using this formulae:

According to the question,
Substitute:

Apply law of exponents:[a^m/a^n] = a^m-n

Rearrange it as:


So,the ratio R is 3.
Now let's find out the First term A.
To find, substitute the value of n in 3^n:


Hence, first term A is 1.
NOW Substitute the value of the first term A and ratio R onto the formulae of sum:

Simplify.




We're done!
Hence, the sum of the given Finite series is 1093.
