Question Details

Analyze the sequence below and identify the term that does not match the established pattern:

2, 40, 87, 144, 211, 288, 375

Options

A

2

B

288

C

87

D

40

E

211

Show Answer

Correct Answer :

Option A

2

Solution :

The correct option is 2.

To identify the number that does not match the established pattern, let us analyze the differences between consecutive terms in the given sequence:

Given sequence: 2, 40, 87, 144, 211, 288, 375

Let us calculate the differences between adjacent terms starting from the second term:

375-288=87

288-211=77

211-144=67

144-87=57

87-40=47

We can clearly see a pattern in the differences between consecutive terms: 47, 57, 67, 77, 87. The differences are increasing by 10 at each step.

Following this established pattern backwards, the difference between the second term (40) and the first term should be:

47-10=37

Therefore, the first term should be:

40-37=3

Since the sequence has 2 instead of 3 as its first term, 2 is the term that does not match the established pattern.

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