Here is a pseudocode algorithm that uses the For Each loop to display all of the values in the given array:
```
declare a constant integer named SIZE and set its value to 10
declare an integer array named values with SIZE elements and initialize it with the values 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10
for each integer value in values do
display the value
end for
```
This algorithm first declares a constant integer `SIZE` and an integer array `values` with `SIZE` elements, initialized with the given values. It then uses a For Each loop to iterate through each value in the `values` array and display it. The loop will execute 10 times, once for each element in the `values` array.