Algorithm to find palindromes of all length in 50 million Pl digits of random number and calculate the mean of the distance in C language. The length starts from 2 and increases until no palindrome of certain length is found. The distance of the palindrome refers to the number of digits between the first digit of palindrome 1 and the first digit of palindrome 2.
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- Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…asnwer a and b only.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…
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