Fibonacci series is that when you add the previous two numbers the next number is formed. You have to start from 0 and 1. E.g. 0+1=1 → 1+l=2 → 1+2=3 → 2+3=5 → 3+5=8→ 5+8=13 So the series becomes 0 1 1 2 3 5 8 13 21 34 55 . Steps: You have to take an input number that shows how many terms to be displayed. Then use loops for displaying the Fibonacci series up to that term e.g. input no is =6 the output should be 0 11 2 3 5
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- Fibonacci series is that when you add the previous two numbers the next number is formed. You have to start from 0 and 1. E.g. 0+1=1 → 1+1=2→ 1+2=3 →2+3=5 → 3+5=8 → 5+8=13 So the series becomes 0 11 2 3 5 8 13 21 34 55 Steps: You have to take an input number that shows how many terms to be displayed. Then use loops for displaying the Fibonacci series up to that term e.g. input no is =6 the output should be 0112 3 5Mailbox Mnemonic Code IN STO 90 IN ADD 90 STO 90 IN SUB 90 OUT COB 00 01 02 1. The following Little Man program is supposed to add two input numbers, subtract a third input number from the sum, and output the result, i.e., OUT = IN1 + IN2 – IN3 03 04 05 06 07 08 Numeric Code 901 390 901 190 390 901 290 902 000 What is wrong with this program? Modify the program so that it produces the correct result.Broken Cabins Problem Statement: There is an Office consisting of m cabins enumerated from 1 to m. Each cabin is 1 meter long. Sadly, some cabins are broken and need to be repaired. You have an infinitely long repair tape. You want to cut some pieces from the tape and use them to cover all of the broken cabins. To be precise, a piece of tape of integer length t placed at some positions will cover segments 5,5+1-sit-1. You are allowed to cover non-broken cabins, it is also possible that some pieces of tape will overlap. Time is money, so you want to cut at most k continuous pieces of tape to cover all the broken cabins. What is the minimum total length of these pieces? Input Format The first line contains three integers n,m and k(1sns10°, namsloº, Isksn) - the number of broken cabins, the length of the stick and the maximum number of pieces you can use The second line contains n integers bl,b2,bn (Isbism) - the positions of the broken cabins. These integers are given in increasing…
- 6- You have two numbers ABCD and WXYZ (ex: 2345 and 7965). Write an algorithm using Pseudocode that decides whether ABCD is the inverse of WXYZ. (For example, if ABCD is 2356 and WXYZ is 6532 then the algorithm prints "Inverse" otherwise it will print "Not Invers")Python Programming: You are roaming in a random city and you have lost. You see a sign board and where that is return is that you can go to X and Y street if 1 <= Y - X <= K, where K is a value that is written on the board. You have to reach to your hotel in such a way that it is minimal. Input Output 31 10 251In simple programming language, write a code to determine the biggest of four nonequal numbers.
- Collatz Sequence: In 1937, Lothar Collatz proposed that no matter what number you begin with, the sequence eventually reaches 1. This is widely believed to be true but has never been formally proved. Write a program that inputs a number from the user, and then displays the Collatz Sequence starting from that number. Stop when you reach 1. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to get 3n + 1. Repeat the process indefinitely. Find out and print the maximum number that you can get in these calculations. ' Part-3: Please enter a number: 2051 6154 3077 9232 4616 2308 1154 577 1732 866 433 1300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1 The maximum number you get: 9232Discrete Mathematics: Assignment details: Replace all the 0 (Zero) digits in your ID by 4. Example: If your ID is 38104680, it becomes 38144684 Take the first 6 digits and substitute them in this expression (( A + B) / C) * ((D-E)/F)-2) according to the following table; Letter Replace by Digit Example Digit A 1st 3 B 2nd 8 C 3rd 1 D 4th 4 E 5th 4 F 6th 6 After substitution your expression will be similar to this (( 3 + 8) / 1) * ((4-4)/6)-2). Draw a rooted tree that represents your expression. What is the prefix form of this expression. 3.What is the value of the prefix expression obtained in step 2 above?Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Draw a flow chart of perfect number.
- Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Write a code to check whether a entered number is a perfect number or not. Below is the sample output: Enter a number: 28 It is a perfect number.Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…Binary numbers need more places for counting because: A. 0's and 1's can be added in front of them B. 0's and 1's have to be properly placed C. They are always big numbers D. Binary base is small E. None of the above