ibonacci number pattern that involves square roots. Both sides of the equation should be equal and one side should use Fibonacci numbers ex.. F(n+2)=F(n)+F(n
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PLEASE DONT ANSWER A SOURCE CODE
Construct a Fibonacci number pattern that involves square roots. Both sides of the equation should be equal and one side should use Fibonacci numbers
ex.. F(n+2)=F(n)+F(n+1), where n is 3
F(3+2)=F(3)+F(3+1)
F5=F3+F4
5=2+3
5=5
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- please code in python You place a pawn at the top left corner of an n-by-n chess board, labeled (0,0). For each move, you have a choice: move the pawn down a single space, or move the pawn down one space and right one space. That is, if the pawn is at position (i,j), you can move the pawn to (i+1,j) or (i+1, j+1). Ask the user for the size of a chessboard, n (integer). Find the number of different paths starting from (0,0) that the pawn could take to reach each position on the chess board. For example, there are two different paths the pawn can take to reach (2,1). Look at the diagrams below to convince yourself of this. You can see the four paths that you can take by move 2. Start -> Move 1 -> Move 2 (0,0) -> (1,0) -> (2,1) (0,0) -> (1,0) -> (2,0) (0,0) -> (1,1) -> (2,1) (0,0) -> (1,1) -> (2,2) Print the board with the number of ways to reach each square labeled as shown below. For example: Enter a board size: 4 1 0 0 0 1 1 0 0 1 2 1 0 1 3 3 1please code in python You are probably familiar with the famous Fibonacci sequence of numbers, which begins like this: 1, 1, 2, 3, 5, 8, 13, 21... We'll index from 0, so the 0th and 1st numbers are both 1. The 2nd Fibonacci number is found by summing the 0th and 1st: 1 + 1 = 2. The 3rd is found by summing the 1st and 2nd: 1 + 2 = 3. After this point, each Fibonacci number is found by summing the previous two numbers. You are to write a recursive function to compute the nth Fibonacci number. This means that your function will call itself and will NOT include explicit loops. Hint: Your function should include a line that looks a lot like the mathematical definition of the nth Fibonacci number. Another Hint: It's possible for a recursive function to call itself more than once. Example: print(Fibonacci(1)) 1P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12
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- Use Python & Don't use any python Library. You can use Random.randint() only. 3. Suppose you have been hired to develop a musical chair game. In this game there will be 7 participants and all of them will be moving clockwise around a set of 7 chairs organized in a circular manner while music will be played in the background. You will control the music using random numbers between 0-3.lf the generated random number is 1, you will stop the music and if the number of participants who are still in the game is n, the participants at position (n/2) will be eliminated. Each time a participant is eliminated, a chair will be removed and you have to print the player names who are still in the game. The game will end when there will be only one participant left. At the end of the game, display the name of the winner. [Hint: You will need to invoke a built-in method to generate a random number between 0 (inclusive) to 3 (inclusive)]I wrote this code in c programming. what this code should do is ask how many times its going to run and run that many times(this works), ask how many books there are in a place(this works), then ask the max number of pages you want to read(this works), then asks how many pages there are in a book and put that into an array(works), then sorts the array of pages(works), and then adds the number in the array until you cant which is less than or equal to the max number of pages you want to read, and puts how many books you read(does not work), and then prints out how many books you read. a sample input is 35 206 12 3 10 25 2112 3 6 10 210 319 6 6 3 8 2 12 15 13 7 sample out put should be 345 #include <stdio.h> #include <stdlib.h> void MergeSort(int values[], int start, int end); void Merge(int values[], int start, int middle, int end); void add(int pages[], int count[], long long maxPages, long long total); void Print_Array(int count[], int cases); int main(void) {…my code is getting errors and i cant figiure out why , can you check my code and help me fix the errors . written in c code. It needs to print out a maze and as you hit enter you go through the maze. #include <stdio.h>#include <stdlib.h> #define XSTART 2#define YSTART 0 #define DOWN 0#define RIGHT 1 #define UP 2#define LEFT 3 void mazeTraverse(char maze [12][12],int xCor,int yCor,int dir);int checkForEdge(int x , int y);int correctMoves (char maze[][12],int r , int c );void displayMaze (char maze [][12]); int main (void){ char maze [12] [12] ={{'#','#','#','#','#','#','#','#','#','#','#','#'}, {'#','.','.','.','#','.','.','.','.','.','.','#'}, {'.','.','#','.','#','.','#','#','#','#','.','#'}, {'#','#','#','.','#','.','.','.','.','#','.','#'}, {'#','.','.','.','.','#','#','#','.','#','.','.'}, {'#','#','#','#','.','#','.','#','.','#','.','#'}, {'#','.','.','#','.','#','.','#','.','#','.','#'}, {'#','#','.','#','.','#','.','#','.','#','.','#'},…