Write a program in Java to find the sum of the following series:

S = (2/a) + (3/a²) + (5/a³) + (7/a⁴) + ……. to n

Design a class to overload a function series( ) as follows:

(a) void series(int a, int n) — To display the sum of the series given below:

a - (a/2!) + (a/3!) - (a/4!) + …… n terms

(b) void series(int n) — To display the sum of the series given below:

1/2 - 2/3 + 3/4 - 4/5 + …… n terms

Write a main method to create an object and invoke the above methods.

Using switch statement write a menu driven program to overload a function series as follows:

(a) void series() — To find and display the sum of the following series:
    S = 2 - 4 + 6 - 8 + 10 ….. - 20

(b) void series(int n, int x) — To find and display the sum of the following series:
    S = (x² / 1!) + (x⁴ / 3!) + (x⁶ / 5!) + ……. to n terms