Question Details

Find the number that breaks the pattern:
3, 7, 15, 31, 63, 120

Options

A

7

B

15

C

31

D

120

Show Answer

Correct Answer :

Option D

120

Solution :

The correct option is 120.

Let us analyze the pattern followed by the given sequence: 3, 7, 15, 31, 63, 120.

Each term in the sequence is obtained by multiplying the previous term by 2 and adding 1:

First term = 3

Second term:
3×2+1=6+1=7

Third term:
7×2+1=14+1=15

Fourth term:
15×2+1=30+1=31

Fifth term:
31×2+1=62+1=63

Sixth term:
63×2+1=126+1=127

However, the given sixth term in the sequence is 120 instead of 127.

Therefore, the number that breaks the pattern is 120.

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