Today, we will learn nesting with loops. It is used to make some pretty spectacular programs, and I hope you will be able to make them too after reading this post!
Let us first see how the compiler executes the following statements-
for(i=0;i<5;i++)         //1
      {for(j=0;j<5;j++) //2
            {cout<<"@";
              }
       cout<<'/n';
       }
The output for the above will be
@@@@@
@@@@@
@@@@@
@@@@@
@@@@@
First, the compiler enters loop 1, the value of i in this case is 0. It then enters the second loop, which keeps on printing @ until j=5, after which loop no. 1 runs again with the value of i being 1. 
This loop will again start loop no. 2, which will print @ 5 times again. This process continues till i=5.
Therefore, we conclude that each iteration will give the output as- @@@@@
Now, we will try to print 
1
12
123
1234
12345
<---TRY TO SOLVE IT BEFORE READING BELOW--->
for(i=1;i<=5;i++)      // Loop1
      {for(j=1;j<=i;j++)// Loop2
             {cout<<j;
             }
       cout<<'/n';
       }
What is basically happening here?
Let us go through the first through iterations.
Initially the value of i is 1, and the value of j is also 1. Also, we notice that Loop2 will run only once, as j should be less than or equal to 1. 
Output: 1
Now Loop1 will run again, but this time the value of i will be 2. So j should be less than  equal to 2. So Loop2 will now run twice.
Output: 1
             12
And the loop cycle goes on like this. I hope that this concept of nesting is clear to you, and you can ask any doubts related to it in the comments below, I will be happy to get back to you.
Q1. Print, using for loops-
1. 1
    23
    456
    78910
2. A
    BC
    DEF
    GHIJ
3. 12345
    1234
    123
    12
    1
4. 54321
    4321
    321
    21
   1
5.
    1
   121
 12321
1234321
 12321
  121
    1