Extend the alternating-difference series by two terms. Sequence: 36, 31, 29, 24, 22, 17, 15, ____ , ____

Introduction / Context:Many quantitative series alternate between two fixed negative differences. Identifying the cycle length and values lets you project future terms confidently.

Given Data / Assumptions:

• Series: 36, 31, 29, 24, 22, 17, 15
• Find the next two terms.

Concept / Approach:Calculate consecutive differences and look for an A-B-A-B pattern.

Step-by-Step Solution:

Verification / Alternative check:The derived pair 10, 8 maintains the exact alternating-difference rhythm.

Why Other Options Are Wrong:

• 13 11 / 12 7 / 13 8 / 10 5: Each mismatches the -5 then -2 cycle after 15.

Common Pitfalls:Assuming a constant difference or reversing the order of the alternating differences. Always write the last few steps explicitly.

Final Answer:10 8