Question

Find the sum.

Answer 1

Step 1:

The sum is .

Rewrite the sum as .

The sum is in the form of geometric sum .

Therefore, the sequence is geometric.

The first term of the sum is .

The second term of the sum .

Common ratio .

Step 2:

Sum of the first terms of the geometric series is .

Where is the first term and is the common ratio.

Substitute the values of and in .

Solution:

The sum is .