. The nth Fibonacci number F, is defined as follows:andFo= 1, F1 = 1,Fn=Fn-1 + Fn-2 for n > 1In other words, each number is the sum of the two previous numbers in the sequence. Thus, thefirst several Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Interestingly, certain population growthrates are characterized by the Fibonacci numbers. If a population has no deaths, then the seriesgives the size of the population after each time period.Assume that a population of green crud grows at a rate described by the Fibonacci numbers andhas a time period of 5 days. Hence, if a green crud population starts out as 10 pounds of crud,then after 5 days, there is still 10 pounds of crud; in 10 days, there is 20 pounds of crud; in 15days, 30 pounds of crud; in 20 days, 50 pounds of crud, and so on.Write a program that takes both the initial size of a green crud population (in pounds) and somenumber of days as input from the keyboard, and computes from that information the size of thepopulation (in pounds) after the specified number of days. Assume that the population size is thesame for four days and then increases every fifth day. The program must allow the user to repeatthis calculation as long as desired. Please note that zero is a valid number of days for the crud togrow in which case it would remain at its initial value.Your output should look something like:C:\Windows\system32cmd.exePlease enter the initial size of the green crud: no'm sorry, that, value, is unrecognized or is negative.Please enter the initial size of the green crud: -3'm sorry, that, value is unrecognized or is negative.Please enter the initial size of the green crud: 10Please enter the number of days: 20With an initial population of 10 pounds of crud growing for 20 days,the final population would 50 poundscontinue? (y/n)why?am that isyoutoBould you like to continue? ognized15initial size of the green crud: 10Please enter the number of daysWith an initial population of 10 pounds of crud growing for 0 days,the final population would be 10 poundsHould you like to continue? (y/n)nPress any key to continue...1-0A

When you run this program, it will prompt the user to enter the initial size of the green crud and…

Answered: and FnFn-1+Fn-2 for n > 1 In other…

and FnFn-1+Fn-2 for n > 1 In other words, each number is the sum of the two previous numbers in the sequence. The not gata J Eik. Jo platic

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 21PE

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In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)
Many companies use telephone numbers like 555-GET-FOOD so the number is easier for their customers to remember. On a standard telephone, the alphabetic letters are mapped to numbers in the following fashion:A, B, and C = 2D, E, and F = 3G, H, and I = 4J, K, and L = 5M, N, and O = 6P, Q, R, and S = 7T, U, and V = 8W, X, Y, and Z = 9Create an application that lets the user enter a 10-character telephone number in the format XXX-XXX-XXXX. The application should display the telephone number with any alphabetic characters that appeared in the original translated to their numeric equivalent. For example, if the user enters 555-GET-FOOD, the application should display 555-438-3663.
Many companies use telephone numbers like 555-GET-FOOD so the number is easier for their customers to remember. On a standard telephone, the alphabetic letters are mapped to numbers in the following fashion: A, B, and C 2 D, E, and F 3 G, H, and I 4 J, K, and L 5 M, N, and O 6 P, Q, R, and S 7 T, U, and V 8 W, X, Y, and Z 9 Write a program that asks the user to enter a 10-character telephone number in the format XXX-XXX-XXXX. The application should display the telephone number with any alphabetic characters that appeared in the original translated to their numeric equivalent. For example, if the user enters 555-GET-FOOD the application should display 555-438-3663. Gaddis Tony. Starting Out with Python (2-downloads) (p. 367). Pearson Education. Kindle Edition.
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In practical life, the employees get salaries and pay taxes honestly. Sometimes, the process of drawing salariesand payment of taxes may lead to some interesting situation. Suppose, a person draws salary of Rs. 10,000 permonth. A certain percentage of tax is charged on that amount, which is deducted every month. But if the salaryof the person is more than Rs. 10,000 per month, then the tax rate is different. Similarly if a person is getting Rs.20,000 per month, he/she would be charged more under a different tax rate slab. The interesting situationdevelops if there is an anomaly in the tax rates i.e. a person who is getting higher salary takes home lesser moneyas compared to the other person with less gross salary.To further elaborate it, we suppose that there is company 'C' where 100 or less than 100persons are employed. The salaries of the employees and their tax rates are known to us.We are required to list those unlucky persons, who are getting lesser take-home salary(net salary)…
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Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N. If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1. For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1 Do the following: Write a code in C++ to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequence consists of. The returned value must be displayed from the main() function. Example input and output is given in the following image.
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In python, Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…
Factorial of a number is defined as: n! = n(n-1)(n-2)(n-3)...(2)(1) For example, 4! = 4*3*2*1 The n! can be written in terms of (n-1)! as: n! = n* (n-1)! (n-1)! = (n-1)*(n-2) ! and so forth. Thus, in order to compute n!, we need (n-1)!, to have (n-1)!, we need (n-2)! and so forth. As you may immediately notice, the base case for factorial is 1 because 1! = 1. Write a program that uses a recursive function called factorial that takes an integer n as its argument and returns n! to the main. C++ PLEASE
A geometric sequence is a sequence of numbers where each term after the first isfound by multiplying the previous one by a fixed, non -zero number calledthe common ratio. For example, the sequences2, 6, 18, ....3,15,75, ….are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term ‘a’, thecommon ratio ‘r’ and the number of terms ‘n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value ‘a’ and common ratio ‘r’ isgiven by: ?? = ???-1. While the sum of a geometric series is given by:?(1 - ??)1 - ?Create a class GeometricSeries to model a Geometric series. Using friend function,overload the ‘~’ operator to find the nth term of the series. Likewise, overload the‘!’ operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in…