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 answer is 347.

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

448-448=0=03

448-447=1=13

447-439=8=23

439-412=27=33

The pattern shows that each term is obtained by subtracting the cube of consecutive non-negative integers (03,13,23,33,43,53,) from the previous term.

Following this pattern for the next term:

412-43=412-64=348

However, the sequence provides 347 instead of 348.

We can verify the final term by using 348:

348-53=348-125=223

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

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CLAT
  • intermediate
  • 2 hours
  • current affairs, general knowledge, legal reasoning, logical reasoning, quant

  • CLAT
  • intermediate
  • 2 hours
  • current affairs, english, general knowledge, legal reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...