The formula to calculate the ratio in a geometric progression is:
\[ r = \frac{a_n}{a_{n-1}} \]
Where:
A geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio. This type of sequence is characterized by the fact that the ratio between consecutive terms is constant. Geometric progressions are commonly used in various fields such as mathematics, physics, finance, and computer science to model exponential growth or decay.
Example 1:
Step 1: Calculate the ratio:
\[ r = \frac{16}{8} = 2 \]
Example 2:
Step 1: Calculate the ratio:
\[ r = \frac{27}{9} = 3 \]