This function will calculate the n term in the Fibonacci Numbers and return in fib_no. By definition, the function returns 0 for n =1, and returns 1 for n = 2. For the subsequence number: nh = (n - 2)th + (n - 1)th You need to verify the input n > 0. Task 2 Sample Output Please enter the nth term Fibonacci number to compute: -1 Please enter a number greater than 0! Please enter the nth term Fibonacci number to compute: 12 The Fibonacci series is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 The 12th. term is: 89
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- 2- The factorial n! of a positive integer n is defined as n! = 1*2*3 . .. * (n-1) * n Where 0! = 1 Write a function to calculate the factorial of a number. Argument: A number n of type unsigned int. Returns: The factorial n! of type long double. Write two versions of the function, where the factorial is • calculated using a loop calculated recursively Test both functions by outputting the factorials of the numbers 0 to 20.python nMath: pentagonal numbers) A pentagonal number is defined as n(3n-1)/2 for n=1,2,..., and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number: def getPentagonalNumber(n): Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.Cyclops numbersdef is_cyclops(n):A nonnegative integer is said to be a cyclops number if it consists of an odd number of digits so that the middle (more poetically, the “eye”) digit is a zero, and all other digits of that number are nonzero. This function should determine whether its parameter integer n is a cyclops number, and return either True or False accordingly n Expected result 0 True 101 True 98053 True 777888999 False 1056 False 675409820 False
- Three numbersa. Write a program that reads three numbers and prints “all the same” if they are allthe same, “all different” if they are all different, and “neither” otherwise.b. Write a program that reads three numbers and prints “increasing” if they are inincreasing order, “decreasing” if they are in decreasing order, and “neither”otherwise. Here, “increasing” means “strictly increasing”, with each value largerthan its predecessor. The sequence 3 4 4 would not be considered increasing.c. Repeat part b. but before reading the numbers, ask the user whetherincreasing/decreasing should be “strict” or “lenient”. In lenient mode, thesequence 3 4 4 is increasing and the sequence 4 4 4 is both increasing anddecreasingUsing the starter code below, write a program that asks a user for two points (x1, y1) and (x2, y2), then computes the area of the circle for which (x1, y1) is the center and (x2, y2) is on the circle's perimeter. The program should define and use 3 functions: distance(x1, y1, x2, y2): computes and returns the distance between two points • area(r): computes and returns the area of a circle with radius r • main(): asks user for input, calls the other functions, and prints the answer. The input and output of the program should look similar to this: X for center point: 0 Y for center point: 0 X for perimeter point: 1 Y for perimeter point: 1 Area of circle centered at (0.0, 0.0) with radius 1.414213 is 6.283185. Hint 1: Area of a circle = n? Hint2: Distance between 2 points = sqrt(x2-X12 + (Y2 - Y1)²) Starter code: import math def distance(x1, y1, x2, y2): #Add code to compute and return distance between (x1, y1) and (x2, y2) def area(r): #Add code to compute and return area of circle…# We have small bags of cement (10 kilograms each)# We have big bags of cement (50 kilograms each)# Return the number of each of the bags to use,# assuming we always use big bags before small bags.# Return -1 for each if it can't be done.## Oh, and there 4 errors in the main() function# Happy Debugging! import random def main():keep_going = "y" while keepgoing.upper() == "Y": small_bags = random.randint(5,20) big_bags = random.randint(1,5) goal = random.randint(60,350,10) small_used, big_used = make_cemont(small_bags, big_bags, gaol)if small_used == -1: print("Sorry, we can't reach", goal, "kilograms with", small_bags, "small bags and", big_bags, "big bags.")else: print("Goal", goal, "kilograms achieved!") print("Small bags:", small_used, "out of", small_bags) print(" Big bags:", big_used, "out of", big_bags) another_round = input("Try again (y/n)?: ")def make_cement(small_bags_supplied, big_bags_supplied,…
- Python code Write a function that, given two integers, return the product of every integer between them, inclusive. #Example function code: #def circle_area(radius): #area = math.pi * radius ** 2 #return area1. Write a program that lets the user guess whether a randomly generated integer would be even or odd. The program randomly generates an integer and divides it by 2. The integer is even if the remainder is 0, otherwise odd. The program prompts the user to enter a guess and reports whether the guess is correct or incorrect.Part3: Exercises Exercise 1: Write a Python program that inputs five positive integer numbers, finds their maximum and sort them in ascending order. Each number should be a distinct number (i.e. all numbers are different). Each number should be input and returned by a function named getValue(.) that receives a prompt message. A second function ascSortNumbers(..) should sort numbers and display them on screen in ascending order. A third function maxNumber(.) should receive five numbers as parameters and returns the maximum number to the function main..), which then prints the maximum number. Please input 5 numbers: 30 30 20 10 56 Invalid input, try again Please input 5 numbers: -9 67 20 10 97 Invalid input, try again Please input 5 numbers: 17 158 98 2 Sorted: 2 8 15 17 98 Maximum is: 98 Activate Window Go to Settings to activ Figure 1. Exercise 1 Sample Run.
- Code in Python: Your hangman game should be broken into appropriate functions, contain a main function, anddo the following:1. The program should randomly select a word from the list: kangaroo, capybara, wombat,koala, wallaby, quokka, platypus, dingo, kookaburra2. Repeatedly prompt the user to guess a letter.3. Validate the input4. All guessed letters should be stored in a two-dimensional list (from problem 2). If thenumber of times a letter has been guessed is greater than 1, then the user should benotified that they have already guessed this letter and prompted to guess a differentletter. The hangman won’t update (grow) if the same incorrect letter is guessed multipletimes.5. The word should be printed where all correctly guessed letters are revealed, and allunguessed letters are replaced with underscores6. A hangman reflecting the number of incorrect guesses should be printed7. If all the letters in the word are guessed, then the user wins. If the hangman / number ofincorrect…In python An emirp is a nonpalindromic prime number whose reversal is also a prime. For example, 17 is a prime, and 71 is a prime, so 17 and 71 are emirps. Write a function that displays the first n emirps, display 10 numbers per line. displayEmirps(n), where n – is the number of palindromic prime numbers to display Prompt the user to enter how many numbers to display.2. Test Scores File: test_scores.py Write pseudocode for the main() part of a program that asks the user to enter 4 test scores between 0 and 100, then displays a JCU grade for each score and also the average test score. When you have written the pseudocode for main, implement your solution in Python code and test it with a range of meaningful data. Remember that we've done the JCU grades question before, so copy your function from that practical code file. Sample Output Score: 3 Score: 50.5 Score: 66 Score: 100 Score 3.0, which is N Score 50.5, which is P Score 66.0, which is C Score 100.0, which is HD The average score was 54.875 Enhancements When you have that working... We asked for 4 scores. Have a look at your code... did you use 4 as a numeric literal or a constant?Change 4 to 3... Did you have to change the program in more than one place?If so, then you've missed one of the things we've taught...As a strong guideline: if you need to use the same literal more than once, you…