Identify the single term that does not conform to the pattern in the following number series:
11, 75, 11, 136, 87, 303, 268
Correct Answer :
268
Solution :
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Let's format the solution carefully following all rules.
The correct option is 268. To find the term that does not conform to the pattern, let us analyze the step-by-step mathematical operation between consecutive terms in the series. The given number series is: Let us observe the differences between successive terms: 1st to 2nd term: 2nd to 3rd term: 3rd to 4th term: 4th to 5th term: 5th to 6th term: 6th to 7th term: However, the given series has 268 instead of 267. Therefore, 268 is the term that does not conform to the pattern.
11, 75, 11, 136, 87, 303, 268
Following the pattern of alternating addition of cubes of increasing numbers () and subtraction of squares of decreasing numbers (), the next operation should be subtracting :
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