Number series – find the next two terms: 9, 16, 23, 30, 37, 44, 51, ?, ?

Introduction / Context:This is a straightforward arithmetic progression check: constant differences signal the next terms directly.

Given Data / Assumptions:

• Series: 9, 16, 23, 30, 37, 44, 51
• We need the next two terms.
• Look for a constant difference.

Concept / Approach:

Compute consecutive differences. If the difference is constant, keep adding it to extend the sequence.

Step-by-Step Solution:

Verification / Alternative check:

All original differences equal 7, confirming a pure arithmetic progression.

Why Other Options Are Wrong:

Any pair not matching +7 steps (like 59 66 or 58 66) violates the constant difference rule.

Common Pitfalls:

Mis-adding the difference or skipping a step; always add the common difference sequentially.

Final Answer:

58 65