Number series – find the next two terms: 2, 8, 14, 20, 26, 32, 38, ?, ?

Introduction / Context:An arithmetic sequence with a constant positive step increases uniformly. We extend it by repeatedly adding the common difference.

Given Data / Assumptions:

• Series: 2, 8, 14, 20, 26, 32, 38
• Find the next two values.
• Check consecutive differences.

Concept / Approach:

Calculate the difference between adjacent terms. If constant, continue adding the same difference to get future terms.

Step-by-Step Solution:

Verification / Alternative check:

All original gaps are 6, confirming an arithmetic progression.

Why Other Options Are Wrong:

42 48 or 40 42 do not follow the +6 rule from 38; 2 46 and 32 26 are unrelated reversals.

Common Pitfalls:

Using the wrong difference or making a simple addition error; always verify with multiple consecutive steps.

Final Answer:

44 50