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

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

Let us compute the difference between each pair of adjacent numbers starting from the right end of the sequence:

375-288=87

288-211=77

211-144=67

144-87=57

87-40=47

Notice that the differences between consecutive terms follow a clear arithmetic pattern where each difference decreases by 10 going backwards from right to left:

87, 77, 67, 57, 47, ...

Following this established rule, the difference between the first term and the second term should be:

47-10=37

Thus, the correct first term of the sequence should be:

40-37=3

Since the given sequence has 2 as the first term instead of 3, the number 2 does not match the established pattern.

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