Write an algorithm (pseudocode) that uses iteration to find the sum of all multiples of 3 and all multiples of 4 between 3 and 150 inclusive. Print the sum.

Sure, here is the pseudocode for the problem:

Initialize sum to 0
For each number i from 3 to 150
    If i is divisible by 3 or i is divisible by 4
        Add i to sum
End For
Print sum

Here is the detailed step-by-step explanation:

1. Initialize a variable sum to 0. This will hold the sum of all multiples of 3 and 4.

2. Start a loop that goes through each number i from 3 to 150 inclusive.

3. Inside the loop, check if i is divisible by 3 or 4. You can do this by using the modulus operator (%). If i % 3 == 0 or i % 4 == 0, then i is a multiple of 3 or 4.

4. If i is a multiple of 3 or 4, add it to sum.

5. After the loop ends, print the value of sum. This is the sum of all multiples of 3 and 4 between 3 and 150 inclusive.