Directions: Determine which number in the sequence below does not fit the pattern.
16, 56, 168, 420, 880, 1260, 1260
Correct Answer :
880
Solution :
The correct answer is 880.
To determine which number does not fit the pattern, let us find the multiplier between consecutive terms in the sequence:
16, 56, 168, 420, 880, 1260, 1260
Let us calculate the multiplying factors step-by-step:
Notice that each multiplier decreases by 0.5 at each step (3.5, 3.0, 2.5, 2.0, 1.5, 1.0).
Following this rule, the next term should be calculated by multiplying 420 by 2.0:
However, the number provided in the sequence is 880 instead of 840.
We can check if replacing 880 with 840 satisfies the rest of the sequence:
Since both subsequent terms match the sequence, 880 is indeed the wrong term that does not fit the pattern.
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