Difficulty: Easy
Correct Answer: 200
Explanation:
Introduction / Context:
Decreasing sequences are often built by repeated division by a fixed number. We will check for a consistent divisor across the list and identify the term that breaks the pattern.
Given Data / Assumptions:
Concept / Approach:
Test division by 4 (a common base-2 friendly factor): 40960/4 = 10240, 10240/4 = 2560, 2560/4 = 640. Continue to see if all terms comply.
Step-by-Step Solution:
40960 → 10240: ÷4 ✔10240 → 2560: ÷4 ✔2560 → 640: ÷4 ✔640 → next should be 160 (÷4), but the series shows 200 ✖Continuing from the corrected 160: 160 → 40 (÷4) ✔; 40 → 10 (÷4) ✔
Verification / Alternative check:
With 200 replaced by 160, the whole series becomes a perfect repeated division by 4.
Why Other Options Are Wrong:
Common Pitfalls:
Some solvers try alternating divisors prematurely. Always check the simplest single-divisor pattern first.
Final Answer:
200
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