6) Write a recursive function to calculate the summation of numbers from 1 to n. For example if the user enters 5, your program would add 1+2+3+4+5 and print out the answer 15. 7) Write a recursive program to calculate Fibonacci numbers. Use the definition of a Fibonacci number where F(n) = F(n-1) + F(n-2).
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6) Write a recursive function to calculate the summation of numbers from 1 to n. For example
if the user enters 5, your
7) Write a recursive program to calculate Fibonacci numbers. Use the definition of a Fibonacci
number where F(n) = F(n-1) + F(n-2).
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- Write a recursive function that displays the number of even and odd digits in an integer using the following header: void evenAndOddCount(int value) Write a test program that prompts the user to enter an integer and displays the number of even and odd digits in it.Write a recursive function that converts a decimal number into a binary number as a string. The function header is as follows:def decimalToBinary(value): Write a test program that prompts the user to enter a decimal number and displays its binary equivalent.4. CodeW. X b For fun X Solved x b Answer x+ Ohttps://codeworko... CodeWorkout X264: Recursion Programming Exercise: Multiply For function multiply,write the missing base case condition and action. This function will multiply two numbers x and y.You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 Your Answer: 1 public int multiply(int x, int y) { 2. if > { > } else { return multiply(x 1, y) + y; 3. 5. { 7. 1:08 AM 50°F Clear 日
- Computer scientists and mathematicians often use numbering systems other than base 10. Write a program that allows a user to enter a number and a base and then prints out the digits of the number in the new base. Use a recursive function baseConversion (num, base) to print the digits. Hint: Consider base 10. To get the rightmost digit of a base 10 number, simply look at the remainder after dividing by 10. For example, 153 % 10 is 3. To get the remaining digits, you repeat the process on 15, which is just 153 // 10. This same process works for any base. The only problem is that we get the digits in reverse order (right to left). The base case for the recursion occurs when num is less than base and the output is simply num. In the general case, the function (recursively) prints the digits of num // base and then prints num % base. You should put a space between successive outputs, since bases greater than 10 will print out with multi-character "digits." For example, baseConversion(1234,…Write a recursive function that computes the sum of the digits in an integer. Use the following function header: def sumDigits(n):For example, sumDigits(234) returns Write a test program that prompts the user to enter an integer and displays its sum.Python only** Use recursive function* Define countBetween with 2 parameters Use def to define countBetween with 2 parameters thas two parameters: a starting number and an ending number, and counts up (i.e., prints consecutive integers) from the starting number to the ending number. If the numbers are the same, it just prints that number; if the ending number is lower than the starting number, it prints nothing. Do not use any kind of loop Within the definition of countBetween with 2 parameters, do not use any kind of loop. Call countBetween Within the definition of countBetween with 2 parameters, call countBetween in at least one place. Python only** Use recursive function* Define countThereAndBack with 2 parameters Use def to define countThereAndBack with 2 parameters after reaching the ending number, it also counts back down to the starting number. It accepts the same two parameters defining starting and ending numbers it should print nothing if the starting number is…
- Write a program that recursively and iteratively counts down from n. a) Create a void recursive function named countDownR() that accepts an integer n, and progressively decrements and outputs the value of n. b) Create a void iterative function named countDownI() that accepts an integer n, and progressively decrements and outputs the value of n. c) Trace the function when n is 5. Example Output 5 4 3 2 1 0Write a recursive function to compute the following series: m(i) = 1/2 + 2/ 3 + . . . + i/i + 1 Write a test program that prompts the user to enter an integer for i and displays m(i).This is for Java Write a recursive function that takes as a parameter a nonnegative integerand generates the following pattern of stars. If the nonnegative integer is 4,then the pattern generated is:**********Also, write a program that prompts the user to enter the number of lines inthe pattern and uses the recursive function to generate the pattern. Forexample, specifying 4 as the number of lines generates the above pattern. Java please
- Write a recursive function that converts a decimal number to binary number.int DecToBin(int dec);For this exercise, you are going to write a recursive function that counts down to a Blastoff! Your recursive function will not actually print. It will return a String that can be printed from the main function. Each recursive call will add on to that string. In your main function, prompt the user for a starting value, then print the results. Sample Output Please enter a number to start: 5 5 4 3 2 1 Blastoff! import java.util.Scanner; public class Countdown{public static void main(String[] args){// Start here}public static String countdown(int number){// Base case - return Blastoff!// Recursive call}}Read Chapter 12 Recursive Lines Write a recursive function that accepts an integer argument, n. The function should display n lines of asterisks on the screen, with the first line showing 1 asterisk, the second line showing 2 asterisks, up to the middle line which shows n asterisks. You will then continue to print less stars until your last line of one asterisk. With an input of 3 your output should look like below. You will need to wind the stack to print up to your largest line. You will print the last set of lines as you unwind the stack or as you come out of your recursion. * ** *** ** *