constant ratio
[constant ratio|constant ratio] is the ratio between two consecutive terms in a geometric sequence, known as the common ratio.
Definition
constant ratio is the ratio between two consecutive terms in a geometric sequence, known as the common ratio. This constant ratio defines the relationship between terms in a geometric series.
Mechanism
constant ratio In exponential functions, the constant ratio is represented by the base of the function. Both geometric sequences and exponential functions share this characteristic. For any exponential function with the form f(x) = a b^x, b serves as the constant ratio.
Causes
constant ratio Both geometric sequences and exponential functions are characterized by a constant ratio. The base 2 is referred to as the constant ratio in this context. This ratio remains consistent across all terms in these mathematical constructs.
Effects
constant ratio is a characteristic of both geometric sequences and exponential functions. It determines how each term relates to the previous one through multiplication. This property leads to consistent growth or decay patterns in these mathematical constructs.