Question

find the next two terms in this sequence.
20, 32, 42, 50, 56, ?,

Explanation:

Step1: Find the differences between consecutive terms

$32 - 20 = 12$; $42 - 32 = 10$; $50 - 42 = 8$; $56 - 50 = 6$

Step2: Identify the pattern in the differences

The differences are decreasing by 2 each time: 12, 10, 8, 6. So the next difference should be $6 - 2 = 4$, and the one after that should be $4 - 2 = 2$.

Step3: Calculate the next two terms

First next term: $56 + 4 = 60$
Second next term: $60 + 2 = 62$

Answer:

60, 62