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Random numbers are numbers that occur in a sequence such that two conditions are met: (1) the values are uniformly distributed over a defined interval or set, and (2) it is impossible to predict future values based on past or present ones. Random numbers are important in statistical analysis and probability theory. After the successful compilation of the program, this program displays the following output: Ten random numbers in range [1-100] are as follows: 42, 68, 35, 1, 70, 25, 79, 59, 63, 65

Perfect number is a positive integer which is equal to the sum of its proper positive divisors. After the successful compilation of the program, this program displays the following output: Enter any number to check perfect number: If user enters 6 then it displays a message like 6 is a perfect number.

After the successful compilation of the program, this program displays the following output: Enter values for a, b, c of quadratic equation ax2+bx+c are: If user enters 1, 2, 6 then it displays two distinct complex roots exists: -1.00 + i2.24 and -1.00 - i2.24

After the successful compilation of the program, In this program, we used two variables num, and i. The variable num is used to store the input integer number and the variable ‘i’ is used to iterate the loop. Product of the number is given by num*i;

In this program, the number of digits of an integer is calculated first and stored in n. And, the pow() function is used to compute the power of individual digits in each iteration of the second for loop.

In this program, using a for loop, we have iterated over characters of the string from i = 0 to until '\0' (null character) is encountered. In each iteration, the value of i is increased by 1. When the loop ends, the length of the string will be stored in the i variable.

In this program, three numbers are assigned in to the three variables one by one. Then, compare the two selected of them with the use of comparison operator. Repeat the same process for the other two. After the successful execution of the program the final largest number amongst the three are displayed on the screen.

In this Program, User will enter the three sides of the triangle a, b, c. Then, Calculating the Perimeter of the Triangle. Moreover, calculating the semi perimeter using the formula (a + b + c) / 2 and calculating the Area of a triangle using Heron’s Formula: sqrt(s * (s - a) * (s - b) * (s - c)). After the successful execution of the program the final area of a triangle is shown on screen.

In this Program, User will enter the length and width of the rectangle into two variables length and width. Then, Calculating the Area of the rectangle using the formula Area = length × width. After the successful execution the final area of a rectangle is shown on screen.

To get the output of the this Program, User will Enter temperature in Celsius: 100 Then, Compiler will convert it into Fahrenheit automatically. The final output shown onto the screen is as follows: Enter temperature in Celsius: 100 100 Celsius = 212.00 Fahrenheit

In this program, User Enter a number and check whether the given number is even or odd. Then, after successful compilation displays to check it is Odd or Even on the screen. The output of this Program is given below:Enter any number to check it is even or odd: 4153 is Even.Enter any number to check it is even or odd: 33 is Odd.

This C program allows the user to enter the Principal Amount, Rate of Interest, and the Number of years. By using those values, this C Program will calculate the Simple Interest using following formula: Simple Interest = (Principal Amount * Rate of Interest * Number of years) / 100.

In this Program, The first two elements are respectively started from 0 , 1, and the other numbers in the series are generated by adding the last two numbers of the series using looping. These numbers are stored in an array and printed as output.

This Program adds previous two numbers value to compute the next number value. In this program Fibonacci series is calculated using recursion, with seed as 0 and 1. In the code Fibonacci function calls itself with a lesser value several times. An termination condition is very important to recursion function, i.e. n == 0 and n == 1 or the recursive call would be infinite leading to stack overflow error.

. First of all I would like to explain what a natural number is? Then, I will demonstrate how to calculate the nth term of the natural number. Moreover, I would explain the logic to Find the Sum of First N Natural Numbers. Furthermore, I would write the logic and C Program to Find the Sum of First N Natural Numbers with output. Table of contents:What is Number? What is Natural Number? What is the formula to find the Sum of First N Natural Numbers? Demonstration to Find the Sum of First N Natural Numbers Logic to Find the Sum of First N Natural Numbers C Program to Find the Sum of First N Natural Numbers ConclusionWhat is Number? Number is an object that uses digits to perform mathematical tasks. Calculus that is a branch of mathematics included many numbers such as integers, whole numbers, real numbers, and imaginary numbers. Here, I will discuss numbers to perform arithmetic addition operations. Moreover, Number is a combination of digits, some symbols and decimal points. For instance, 127.23 is a rational number. There are many numbers such as whole numbers, natural numbers(positive integers), negative integers, rational numbers etc. What is Natural Number? Natural numbers are the numbers which are positive integers and include numbers from 1 till infinity(∞). These numbers are countable and are generally used for calculation purposes. The set of natural numbers is represented by the letter “N”. N = {1,2,3,4,5,6,7,8,9,10……,∞} What is the formula to find the Sum of First N Natural Numbers? Sums of the First n Natural Numbers The natural numbers are 1,2,3,4,... so on The sum of the first n natural numbers, Sn is as follows: 1 + 2 + 3 + 4 + ... + n Sn = 1 + 2 + 3 + 4 + ... + n As we know, that Sn=n[2a+(n−1)d]/2 According to 'n' natural numbers, The first term = a = 1 The common difference = d = 1 ∴ Sn=n[2×1+(n−1)×1]/2 Sn=n[2+n−1]/2 Sn=n[n+1]/2 Demonstration to Find the Sum of First N Natural Numbers Let's look at this problem for n=1, 2, 3, 4, and 5 and calculate the sum: 1=1 1+2=3 1+2+3=6 1+2+3+4=10 1+2+3+4+5=15 What is the formula to calculate this sum of n natural number ? The sum of n Natural numbers is calculated by using following formula: Logic to Find the Sum of First N Natural NumbersStep 1:Declare and initialize variable, i,num, s=0. Step 2:Enter the value of num i.e. number upto which sum is to be calculated Use Loop to add number. Step 3:Any of while, do-while or for loop can be used. Step 4:Print the sumC Program to Find the Sum of First N Natural Numbers #include <stdio.h> int main() { int n, count, sum = 0;printf("Enter the value of n(positive integer): "); scanf("%d",&n);for(count=1; count <= n; count++) { sum = sum + count; }printf("Sum of first %d natural numbers is: %d",n, sum);return 0; }The output of the Program with code: When the above code is executed, it produces the following results: Enter the value of n(positive integer): 6 Sum of first 6 natural numbers is: 21Conclusion: This C program to add first N natural numbers includes a single header file: stdio.h to control standard input and output function. As the program is executed, it asks for the value of the number to which the sum of natural numbers is to be found out. Then, the numbers are added using for loop. It can also be done with for and while loop as well. Finally, it displays the sum of numbers stored in integer variable ‘s’....

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