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

S = (a*2) + (a*3) + …… + (a*20)

Write the program to find the sum of the following series:

S = a + a² + a³ + ……. + aⁿ

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

S = 1 + 2² / a + 3³ / a² + …… to n terms

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

S = 1²/a + 3² / a² + 5² / a³ + …… to n terms

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

S = 1/a + 1/a² + 1/a³ + …… + 1/aⁿ

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

S = x/2 + x/5 + x/8 + x/11 + …… + x/20

Write a menu driven program to perform the following tasks by using Switch case statement:

(a) To print the series:

0, 3, 8, 15, 24, ………… to n terms. (value of 'n' is to be an input by the user)

(b) To find the sum of the series:

S = (1/2) + (3/4) + (5/6) + (7/8) + ……….. + (19/20)

Using a switch statement, write a menu driven program to:

(a) Generate and display the first 10 terms of the Fibonacci series

0, 1, 1, 2, 3, 5

The first two Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two.

(b) Find the sum of the digits of an integer that is input.

Sample Input: 15390
Sample Output: Sum of the digits = 18

For an incorrect choice, an appropriate error message should be displayed.

Write Java program to find the sum of the given series:

1 + (1/2!) + (1/3!) + (1/4!) + ………. + (1/n!)

Write Java program to find the sum of the given series:

1 + (1+2) + (1+2+3) + ………. + (1+2+3+ …… + n)