What is the missing number in the sequence 8, 10, 14, 20, 28?

To identify the pattern in the sequence 8, 10, 14, 20, 28, let’s analyze the differences between consecutive numbers.

• The difference between 8 and 10 is 2.
• The difference between 10 and 14 is 4.

• The difference between 14 and 20 is 6.
• The difference between 20 and 28 is 8.

Notice that the differences themselves (2, 4, 6, 8) form an increasing sequence where each difference increases by 2. Following this pattern, the next difference should be 10.

To find the next number in the sequence, we add 10 to the last number, which is 28:

28 + 10 = 38.

Thus, the missing number which continues the established pattern in the sequence is 38.