Exponentail functions
Yes.
They both are constant and they also have a specific domain of the natural number.
Arhithmetic progression is linear, while geometric grows in a parabolic way (a curve).
All linear equations are functions but not all functions are linear equations.
linear function
They correspond to linear sequences.
No, but they are examples of linear functions.
Yes.
They both are constant and they also have a specific domain of the natural number.
They are not.
Arhithmetic progression is linear, while geometric grows in a parabolic way (a curve).
A recursive sequence defines each term based on one or more preceding terms, often using a specific formula or rule, while arithmetic and geometric sequences rely on a consistent difference or ratio between consecutive terms, respectively. In an arithmetic sequence, each term is generated by adding a fixed constant to the previous term, whereas in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Recursive sequences can take various forms and do not necessarily follow a linear or exponential pattern. Thus, while all three types of sequences generate ordered sets of numbers, their construction and relationships between terms differ fundamentally.
The term that describes a function in which the values follow an arithmetic sequence is called a "linear function." In this context, a linear function can be expressed in the form ( f(x) = mx + b ), where ( m ) represents the constant difference between successive values, and ( b ) is the initial value. The graph of a linear function is a straight line, reflecting the constant rate of change characteristic of arithmetic sequences.
i want an example of geometric linear equations
Linear
Gegham Gevorkyan has written: 'On general Franklin systems' -- subject(s): Continuous Functions, Linear Algebras, Partitions (Mathematics), Piecewise linear topology, Sequences (Mathematics), Transformations (Mathematics)
All linear equations are functions but not all functions are linear equations.