Decreasing number series analysis: 325, 259, 204, 160, 127, 105, ? — determine the next value by inspecting the changing subtractions between adjacent terms.

Introduction / Context:This decreasing series tests your ability to spot a clean pattern in successive subtractions. Many such sequences reduce by steadily shrinking gaps, often by a fixed amount each step.

Given Data / Assumptions:

• Sequence: 325, 259, 204, 160, 127, 105, ?
• We expect a consistent rule in the differences.

Concept / Approach:Compute the differences term-by-term and observe how the subtraction amount changes. If the “step-down” itself follows a simple pattern, extend that to predict the next reduction and, thus, the next term.

Step-by-Step Solution:

Verification / Alternative check:Following the “reduce by 11” rule backward and forward keeps the pattern consistent, confirming 94.

Why Other Options Are Wrong:

• 96, 98, 100 would correspond to subtractions of 9, 7, or 5 from 105, which break the steady minus-11 pattern.

Common Pitfalls:Trying to apply ratios or alternating rules before checking a straightforward arithmetic progression in the differences. Always test the simplest hypothesis first.

Final Answer:94