You are given a sequence of N integers, which are called as pseudo arithmetic sequences(sequences that are in arithmetic progression). Sequence of N integers : 2, 5, 6, 8, 9, 12 We observe that 2 + 12 = 5 + 9 = 6 + 8 = 14 The sum of.the above sequence can be calculated as 14 × 3 = 42. For sequence containing an odd number of elements the rule is to double the middle element, for example 2, 5, 7, 9, 12 = 2 + 12 = 5 + 9 = 7 + 7 = 14. 14 × 3 = 42 [middle element = 7]A class Pseudoarithmetic determines whether a given sequence is a pseudoarithmetic sequence. The details of the class are given below: Class name: Pseudoarithmetic Data members/instance variables: n: to store the size of the sequence a[]: integer array to store the sequence of numbers ans, flag: store the status sum: store the sum of the sequence of numbers r: store the sum of the two numbers Member functions: Pseudoarithmetic(): default constructor void accept(int nn): to assign nn to n and to create an integer array. Fill in the elements of the array boolean check(): return true if the sequence is a pseudo arithmetic sequence otherwise returns false Specify the class Pseudoarithmetic, giving the details of the constructor(), void accept(int) and boolean check(). Also, define a main() function to create an object and call the member functions accordingly to enable the task.