1 1 12. Write a function harmonic (n) to return the sum 1+ + + + (These 2 3 n sums are known as harmonic numbers.) Write a program to print a table of values of the harmonic numbers for n = 1, 2, 3,..., 20.
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- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.(Numerical) Using the srand() and rand() C++ library functions, fill an array of 1000 floating-point numbers with random numbers that have been scaled to the range 1 to 100. Then determine and display the number of random numbers having values between 1 and 50 and the number having values greater than 50. What do you expect the output counts to be?Complete the function that calculates the sum of the first n+1 terms of the geometric series a, ar, ar² ar³, ar4 . note that the series begins with a and the last term is ar", in total there are n+1 terms. ar" ... [ ]: # complete the function given the variables a,r,n and return the value as series_sum. def sum_geometric_series(a,r,n): # your code here return series_sum
- Part 1: Write a function factorialFunc(n) that gets the positive integer n and calculates n! n! = n*(n-1)* (n-2)* (n-3) … * 3 * 2 * 1; Part 2: sin(x) can be approximately calculated using the following formula, where n! is factorial(n) – for example 3!=3*2*1 = 6 (the function in previous problem). The more terms we use in the series, the higher will be accuracy of the calculations. By using infinite terms in the series we will have the exact value. Write a program that gets x and calculates sin(x) using 5, 10, 20 terms, using C++4. The Fibonacci series: 0, 1, 1, 2,3,5,8,13,21... begins with terms 0 and 1 and has the property that each succeeding term is the sum of the two previous terms. Write a program containing a recursive function that computes and displays the nh Fibonacci number, given the value for n.8. Write a function which calculates the following expression for a given number of terms (N) and x, e.g., efunc(N,X) ( takes N and x as an input) x2 ex - 1+ 1 ! + ... 2! 3!
- We rite a recursive function that calculates the products of natural numbers (1 through n) as follows: - asks the user to enter a positive number n - calculates and prints out the product of 1 through n (for example for n=5 the product is 120) Uploads: .c code and the output6. Find the errors from the following code. a. T=[a,b,c] printlh (T) b. for i in 1 to 100 : print (1) c. i=10 while [ib) print (a): else if (a6. Write a recursive function that find the sum of the following series. 1+1/2+1/4+1/8+...+1/2"4. The Fibonacci series: 0, 1, 1, 2,3,5,8,13,21... begins with terms 0 and 1 and has the property that each succeeding term is the sum of the two previous terms. Write a program containing a recursive function that computes and displays the nth Fibonacci number, given the value for n.Write a function int Factorial(int n) to calculate factorial of n. If n is non negative then it return factorial, otherwise it display a proper error message and return -1.A pentagonal number is defined as for and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number:def getPentagonalNumber(n):Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.SEE MORE QUESTIONS