# Calculus Examples

, , ,

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .

Geometric Sequence:

Step 2

This is the form of a geometric sequence.

Step 3

Substitute in the values of and .

Step 4

This is the formula to find the sum of the first terms of the geometric sequence. To evaluate it, find the values of and .

Step 5

Replace the variables with the known values to find .

Step 6

Step 6.1

Raise to the power of .

Step 6.2

Subtract from .

Step 7

Step 7.1

Subtract from .

Step 7.2

Divide by .

Step 7.3

Multiply by .

Step 8

Convert the fraction to a decimal.