https://file.aiquickdraw.com/mathbot/file/1726626069777zc2vgdau.jpg

dalam program c++ tampilkan deret di atas

To create a C++ program that prints the patterns shown in the image, I'll break down the three distinct patterns and provide code for each. 

### 1. First Pattern:
```
1
2 3
3 4 5
4 5 6 7
...
```

### 2. Second Pattern:
```
1 2 3 4
  3 4 5
    5 6
      7
...
```

### 3. Third Pattern:
```
4 4 4 4
  3 3 3
    2 2
      1
...
```

### Full C++ Program:

```cpp
#include <iostream>
using namespace std;

void firstPattern(int n) {
    for (int i = 1; i <= n; i++) {
        int num = i;
        for (int j = 1; j <= i; j++) {
            cout << num << " ";
            num++;
        }
        cout << endl;
    }
    cout << "..." << endl;
}

void secondPattern(int n) {
    int start = 1;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < i; j++)
            cout << "  ";
        int num = start;
        for (int j = 0; j < n - i; j++) {
            cout << num << " ";
            num++;
        }
        cout << endl;
        start += 2;
    }
    cout << "..." << endl;
}

void thirdPattern(int n) {
    for (int i = n; i >= 1; i--) {
        for (int j = 0; j < n - i; j++)
            cout << "  ";
        for (int j = 0; j < i; j++) {
            cout << i << " ";
        }
        cout << endl;
    }
    cout << "..." << endl;
}

int main() {
    int n = 4; // Number of rows
    cout << "First Pattern:" << endl;
    firstPattern(n);

    cout << "Second Pattern:" << endl;
    secondPattern(n);

    cout << "Third Pattern:" << endl;
    thirdPattern(n);

    return 0;
}
```

### Explanation:
1. **First Pattern**: Starts with `i` and increments by 1 for each subsequent number in the row.
2. **Second Pattern**: Starts from an increasing base number and prints fewer elements on each line, shifting the position to the right.
3. **Third Pattern**: Begins with the largest number (e.g., `4`) and reduces the number of repetitions as the rows go down.

### Sample Output:
```
First Pattern:
1 
2 3 
3 4 5 
4 5 6 7 
...

Second Pattern:
1 2 3 4 
  3 4 5 
    5 6 
      7 
...

Third Pattern:
4 4 4 4 
  3 3 3 
    2 2 
      1 
...
```

Would you like more details or have any questions?

Here are 5 questions for further exploration:
1. How would you adjust the code for a different number of rows?
2. Can you add a pattern where the numbers alternate between even and odd in each row?
3. How could you modify the third pattern to display a triangle shape?
4. What would the output look like if the starting number is not 1 but a different integer?
5. Can you modify the code to accept user input for the number of rows?

**Tip**: You can use loops efficiently in pattern generation by controlling indices and spaces for alignment.

Learn how to generate various number patterns using nested loops in C++. The patterns start from a simple incrementing series to more complex number arrangements with decreasing rows.

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