Number series (find the wrong term): 40960, 10240, 2560, 640, 200, 40, 10 Spot the single incorrect term and describe the division pattern being followed.

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:

  • Series: 40960, 10240, 2560, 640, 200, 40, 10
  • Exactly one term is wrong.


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:

  • 10240, 2560, 640, 40, 10: All lie on the exact ÷4 trajectory from the starting value.
  • 200: The single value that does not equal the previous term divided by 4.


Common Pitfalls:
Some solvers try alternating divisors prematurely. Always check the simplest single-divisor pattern first.



Final Answer:
200

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