Difficulty: Easy
Correct Answer: 45
Explanation:
Introduction / Context:
This checks whether you can detect steadily increasing step sizes. When step sizes should rise by a fixed amount, any term that disrupts that growth is incorrect.
Given Data / Assumptions:
Concept / Approach:
Compute differences and see if they form an arithmetic progression. If so, regenerate the expected term and compare.
Step-by-Step Solution:
Target step pattern: +6, +8, +10, +12, +14. Compute with this pattern: 16 + 6 = 22; 22 + 8 = 30; 30 + 10 = 40 (but the series shows 45 ✗); 40 + 12 = 52; 52 + 14 = 66. Hence, the fourth term should be 40, not 45.
Verification / Alternative check:
Substituting 40 for 45 yields consistent differences of 6, 8, 10, 12, 14.
Why Other Options Are Wrong:
30, 52, 66 all align with the intended difference progression and therefore are not wrong.
Common Pitfalls:
Accepting irregular jumps as random rather than testing for an orderly increase in step size.
Final Answer:
45
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