Question Details

Analyze the sequence provided below and identify the incorrect number:

448, 448, 447, 439, 412, 347, 223

Options

A

347

B

439

C

223

D

447

E

448

Show Answer

Correct Answer :

Option A

347

Solution :

The correct option is 347.

To identify the incorrect number in the given sequence, let us analyze the differences between consecutive terms:

First term = 448
Second term = 448
Difference = 448 - 448 = 0

Third term = 447
Difference = 448 - 447 = 1

Fourth term = 439
Difference = 447 - 439 = 8

Fifth term = 412
Difference = 439 - 412 = 27

Notice the pattern in the differences between consecutive terms:

03=0

13=1

23=8

33=27

Following this pattern, the next difference should be 43=64.

Therefore, the sixth term should be:

412-64=348

However, the sequence given in the question lists 347 instead of 348.

We can check the final term using 348:

The next difference should be 53=125.

348-125=223

This matches the last number in the given sequence. Thus, 347 is the incorrect number in the sequence.

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