Python: Check whether a given sequence is linear, quadratic or cubic
Python Basic - 1: Exercise-105 with Solution
Write a Python program to check whether a given sequence is linear, quadratic or cubic.
Sequences are sets of numbers that are connected in some way.
Linear sequence:
A number pattern which increases or decreases by the same amount each time is called a linear sequence. The amount it increases or decreases by is known as the common difference.
Quadratic sequence:
In quadratic sequence, the difference between each term increases, or decreases, at a constant rate.
Cubic sequence:
Sequences where the 3rd difference are known as cubic sequence.
Sample Solution:
Python Code:
def Seq_Linear_Quadratic_Cubic(seq_nums):
seq_nums = [seq_nums[x] - seq_nums[x-1] for x in range(1, len(seq_nums))]
if len(set(seq_nums)) == 1: return "Linear Sequence"
seq_nums = [seq_nums[x] - seq_nums[x-1] for x in range(1, len(seq_nums))]
if len(set(seq_nums)) == 1: return "Quadratic Sequence"
seq_nums = [seq_nums[x] - seq_nums[x-1] for x in range(1, len(seq_nums))]
if len(set(seq_nums)) == 1: return "Cubic Sequence"
nums = [0,2,4,6,8,10]
print("Original Sequence:",nums)
print("Check the said sequence is Linear, Quadratic or Cubic?")
print(Seq_Linear_Quadratic_Cubic(nums))
nums = [1,4,9,16,25]
print("\nOriginal Sequence:",nums)
print("Check the said sequence is Linear, Quadratic or Cubic?")
print(Seq_Linear_Quadratic_Cubic(nums))
nums = [0,12,10,0,-12,-20]
print("\nOriginal Sequence:",nums)
print("Check the said sequence is Linear, Quadratic or Cubic?")
print(Seq_Linear_Quadratic_Cubic(nums))
nums = [1,2,3,4,5]
print("\nOriginal Sequence:",nums)
print("Check the said sequence is Linear, Quadratic or Cubic?")
print(Seq_Linear_Quadratic_Cubic(nums))
Sample Output:
Original Sequence: [0, 2, 4, 6, 8, 10] Check the said sequence is Linear, Quadratic or Cubic? Linear Sequence Original Sequence: [1, 4, 9, 16, 25] Check the said sequence is Linear, Quadratic or Cubic? Quadratic Sequence Original Sequence: [0, 12, 10, 0, -12, -20] Check the said sequence is Linear, Quadratic or Cubic? Cubic Sequence Original Sequence: [1, 2, 3, 4, 5] Check the said sequence is Linear, Quadratic or Cubic? Linear Sequence
Flowchart:

Python Code Editor:
Have another way to solve this solution? Contribute your code (and comments) through Disqus.
Previous: Write a Python program to find a number in a given matrix, which is maximum in its column and minimum in its row.
Next: Write a Python program to test whether a given integer is Pandigital number or not.
What is the difficulty level of this exercise?
Test your Programming skills with w3resource's quiz.
- Weekly Trends
- Python Interview Questions and Answers: Comprehensive Guide
- Scala Exercises, Practice, Solution
- Kotlin Exercises practice with solution
- MongoDB Exercises, Practice, Solution
- SQL Exercises, Practice, Solution - JOINS
- Java Basic Programming Exercises
- SQL Subqueries
- Adventureworks Database Exercises
- C# Sharp Basic Exercises
- SQL COUNT() with distinct
- JavaScript String Exercises
- JavaScript HTML Form Validation
- Java Collection Exercises
- SQL COUNT() function
- SQL Inner Join