Write a program in Java to display the following pattern:

1
2   3
4   5   6
7   8   9   10
11 12 13 14 15

Write a program to generate a triangle or an inverted triangle till n terms based upon the user's choice.

Example 1:
Input: Type 1 for a triangle and
Type 2 for an inverted triangle
Enter your choice 1
Enter the number of terms 5
Sample Output:
1
2 2
3 3 3
4 4 4 4
5 5 5 5 5

Example 2:
Input: Type 1 for a triangle and
Type 2 for an inverted triangle
Enter your choice 2
Enter the number of terms 6
Sample Output:
6 6 6 6 6 6
5 5 5 5 5
4 4 4 4
3 3 3
2 2
1

Using the switch statement, write a menu driven program for the following:

(a) To print the Floyd's triangle:
1
2   3
4   5   6
7   8   9   10
11 12 13 14 15

(b) To display the following pattern:
I
I C
I C S
I C S E

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

Using the switch case statement, write a menu driven program for the following:

(a) To input a number and display only those factors of the numbers which are prime.
Sample Input: 84
Sample Output: 2, 3, 7

(b) A program that displays the multiplication table from 1 to 10, as shown:
1 2 3 4 5 6 7 8 9 10
2 4 6 8 10 12 14 16 18 20
3 6 9 12 15 18 21 24 27 30
……………………………..
……………………………..
……………………………..
9 18 27 36 45 54 63 72 81 90
10 20 30 40 50 60 70 80 90 100