Identify the wrong number in the division-by-4 sequence: 40960, 10240, 2560, 640, 200, 40, 10

Introduction / Context:
When each term equals the previous term divided by a constant factor, one erroneous division immediately breaks the rhythm. Here, division by 4 appears to be the governing rule.

Given Data / Assumptions:

• Sequence: 40960, 10240, 2560, 640, 200, 40, 10.
• Hypothesis: each term = previous term / 4.

Concept / Approach:
Check each ratio. A single ratio that is not 1/4 highlights the wrong term. If a wrong intermediate is corrected, the remainder should fall into place automatically.

Step-by-Step Solution:
10240 = 40960 / 4 (OK)2560 = 10240 / 4 (OK)640 = 2560 / 4 (OK)Next should be 640 / 4 = 160 (but given: 200 ✗)40 = 160 / 4 ⇒ would be correct after fixing 16010 = 40 / 4 ⇒ consistent

Verification / Alternative check:
With 160 in place of 200, the series becomes a perfect divide-by-4 chain. No other constant factor explains the earlier steps so precisely.

Why Other Options Are Wrong:

• 640 / 2560 / 40 are each exactly one quarter of the prior term; they follow the rule.

Common Pitfalls:

• Treating the middle anomaly as a pattern change; in clean constant-ratio series, a single error is typical.

Final Answer:
200