Q5// write C++ Programto Generate Fibonacci Sequence Up to a Certain Number . The Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21.

(Conversion) a. Write a C++ program to convert meters to feet. The program should request the starting meter value, the number of conversions to be made, and the increment between metric values. The display should have appropriate headings and list the meters and the corresponding feet value. If the number of iterations is greater than 10, have your program substitute a default increment of 10. Use the relationship that 1 meter = 3.281 feet. b. Run the program written in Exercise 6a on a computer. Verify that your program begins at the correct starting meter value and contains the exact number of conversions specified in your input data. c. Modify the program written in Exercise 6a to request the starting meter value, the ending meter value, and the increment. Instead of the condition checking for a fixed count, the condition checks for the ending meter value. If the number of iterations is greater than 20, have your program substitute a default increment of (ending value - starting value) / 19.

The program in the Programming Example: Fibonacci Number does not check whether the first number entered by the user is less than or equal to the second number and whether both the numbers are non-negative. Also, the program does not check whether the user entered a valid value for the position of the desired number in the Fibonacci sequence. Rewrite that program so that it checks for these things.

When you perform arithmetic operations with operands of different types, such as adding an int and a float, ____________. C# chooses a unifying type for the result you must choose a unifying type for the result you must provide a cast you receive an error message

(Numerical) a. Write a C++ program that accepts an integer argument and determines whether the passed integer is even or odd. (Hint: Use the % operator.) b. Enter, compile, and run the program written for Exercise 8a.

(Statistical) In many statistical analysis programs, data values considerably outside the range of the majority of values are simply dropped from consideration. Using this information, write a C++ program that accepts up to 10 floating-point values from a user and determines and displays the average and standard deviation of the input values. All values more than four standard deviations away from the computed average are to be displayed and dropped from any further calculation, and a new average and standard deviation should be computed and displayed.

(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:

Write C+ + statement(s) to do the following: (1, 2) Declare an array alpha of 50 components of type int. Initialize each component of alpha to -1. Output the value of the first component of the array alpha. Set the value of the 25th component of the array alpha to 62. Set the value of the 10th component of alpha to three times the value of the 50th component of alpha plus 10. Use a for loop to output the value of a component of alpha if its index is a multiple of 2 or 3. Output the value of the last component of alpha. Output the value of the alpha so that 15 components per line are printed. i. Use a for loop to increment every other element (the even indexed elements). j. Create a new array, diffAlpha, whose elements are the differences between consecutive elements in alpha. What is the size of dif fAlpha?

15. Write a program to implement and test the algorithm that you designed for Exercise 15 of Chapter 1. (You may assume that the value of . In your program, declare a named constant PI to store this value.)

(Computation) Among other applications, Pascal’s triangle (see Figure 7.22) provides a means of determining the number of possible combinations of n things taken r at a time. For example, the number of possible combinations of five people (n = 5) taken two at a time (r=2)is10. Each row of the triangle begins and ends with 1. Every other element in a row is the sum of the element directly above it with the element to the left of the one above it. That is, element[n][r]=element[n1][r]+element[n1][r1] Using this information, write and test a C++ program to create the first 11 rows of a twodimensional array representing Pascal’s triangle. For any given value of n less than 11 and r less than or equal to n, the program should display the correct element. Use your program to determine in how many ways a committee of 8 can be selected from a group of 10 people