Sequences
Represents a mathematical sequence.
- initial_term (int): The initial term of the sequence.
- expression (str): The expression used to generate the terms of the sequence (Un+1, example: 2*Un).
- type (int, optional): The type of the sequence. Defaults to 0.
| Name | Description | Arguments | Returns |
|---|---|---|---|
| isArithmetic | Checks if the sequence is arithmetic. | None | If false: bool, If true: tuple: (True, difference) |
| isGeometric | Checks if the sequence is geometric. | None | If false: bool, If true: tuple: (True, ratio) |
| sequence | Returns the values of the n first terms of the sequence. | n (int): Numbers of terms. | list[int]: The custom sequence as a list of integers. |
| variation | Calculates the variation of the sequence. | n (int, optional): Defaults to 0. | str: The variation of the sequence. |
| artithmeticSequence | Generates an arithmetic sequence starting from the initial term of the sequence. | n (int), k (int) | list[int]: The arithmetic sequence generated. |
| geometricSequence | Generates a geometric sequence starting from the initial term of the sequence. | n (int), k (int) | list[int]: A list containing the generated terms of the geometric sequence. |
| term | Returns the nth term of the sequence. | n (int): The position of the term in the sequence. | The nth term of the sequence. |
| arithmeticSum | Returns the sum of the terms of an arithmetic sequence from p to n. | p (int), n (int) | float: The sum of the sequence. |
| geometricSum | Returns the sum of the terms of a geometric sequence from p to n. | p (int), n (int) | float: The sum of the sequence. |
| infLimit | Returns the limit of the sequence when n tends to infinity (for now, only do smth with arithmetic and geometric). | None | The limit of the sequence (if it exists, else None). |