Continue the arithmetic progression by two terms. Sequence: 6, 10, 14, 18, 22, 26, 30, ____ , ____

Introduction / Context:
This is a straightforward arithmetic progression where each term increases by a fixed amount. Such single-step sequences are common quick-solve items.

Given Data / Assumptions:

• Terms: 6, 10, 14, 18, 22, 26, 30
• Find the next two terms.

Concept / Approach:
Identify the common difference and extend.

Step-by-Step Solution:

Verification / Alternative check:
All prior steps increment by +4, so continuing yields 34 and 38 without contradiction.

Why Other Options Are Wrong:

• 36 40 / 38 42: Assume +6 or +8; incorrect.
• 33 37: Uses +3 and +4; breaks constancy.
• 34 36: Correct first term, wrong second (needs +4 again).

Common Pitfalls:
Switching the difference mid-way or averaging nearby differences. Trust the constant increment.

Final Answer:
34 38