Problem 1
Solution:
$st = "";
Output:
for ($i = 1; $i <= 5; $i++){
       $st .="*";
       echo $st . "<br>";
}
*
* *
* * *
* * * *
* * * * *
Problem 2
Solution:
$str = "";
Output:
for ($i = 1; $i <= 5; $i++)
       {
        $str .="*";
        echo $str . "<br>";
       }
for ($j = 5; $j >= 0; $j--)
       {
        echo $str ."<br>";
        $str = substr($str,1);
       }
*
* *
* * *
* * * *
* * * * *
* * * * *
* * * *
* * *
* *
*
Problem 3
Solution:
//Create form to accept user input and pass it to the php script
Output:
//PHP script:
$res;
$hi = $_GET['hrb'];
for ($i = 1; $i <= $hi; $i++)
       {
        $res += $i;
       }
if(isset($hi))
       {
        echo "Sum between 1 and $hi is: " . $res ;
       }
else{echo "
No inputs yet. Input range and click submit";}
Link to demo
Problem 4
Solution:
$rows=10;
Output:
$culomns=10;
echo "<table border='1'>";
for ($i = 1; $i <= $rows; $i++)
       {
        echo "<tr>";
        for($j = 1; $j <= $culomns; $j++)
        {
        echo "<td border='1'>" . $i * $j . "</td>";
        }
        echo "</tr>";
} echo "</table>";
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 4 8 12 16 20 24 28 32 36 40 5 10 15 20 25 30 35 40 45 50 6 12 18 24 30 36 42 48 54 60 7 14 21 28 35 42 49 56 63 70 8 16 24 32 40 48 56 64 72 80 9 18 27 36 45 54 63 72 81 90 10 20 30 40 50 60 70 80 90 100