Number series (identify the incorrect term): 7, 8, 18, 57, 228, 1165, 6996 Exactly one term is wrong. Select the incorrect value that breaks the pattern.

Introduction / Context:Some series hide a generative rule of the form “multiply by n and add n” with n increasing by 1 each step. The task is to detect the rule and identify which term violates it.

Given Data / Assumptions:

• Sequence: 7, 8, 18, 57, 228, 1165, 6996.
• Hypothesis: a(n+1) = a(n) * k + k with k = 1, 2, 3, 4, 5, 6, …

Concept / Approach:Check consecutive transitions with increasing multipliers and addends: start with ×1 + 1, then ×2 + 2, ×3 + 3, etc. Any mismatch pinpoints the incorrect term.

Step-by-Step Solution:

Verification / Alternative check:After fixing the fourth transition to 232, all subsequent terms align exactly with the rule ×k + k for k = 5 and k = 6, confirming 228 is the outlier.

Why Other Options Are Wrong:

• 8, 18, 57, 1165: Each fits the rule at its step and is therefore correct.

Common Pitfalls:Assuming a constant multiplier or missing the incremental +k addend. Always verify every step with the presumed rule.

Final Answer:228