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Find the wrong number in the following sequence: 10, 26, 74, 218, 654, 1946

Paper 1 · Mathematical Reasoning and Aptitude
Find the wrong number in the following sequence: 10, 26, 74, 218, 654, 1946
A26
B74
C218
D654 ✓ Correct
Correct answer: (D) 654 — The wrong number is 654, so that is the answer.
Explanation
The wrong number is 654, so that is the answer.
Each term should be three times the previous term minus 4.
10 times 3 minus 4 is 26, and 26 times 3 minus 4 is 74.
74 times 3 minus 4 is 218, so the next term should be 218 times 3 minus 4.
That equals 650, not the printed 654.
So 654 is the wrong number, since it should be 650.

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