College

What is the next number in the sequence: 3, 6, 12, 24, _?

A. 36
B. 48
C. 56
D. 72
E. 42
F. 36

Answer :

To find the next number in the sequence 3, 6, 12, 24, we first need to observe the pattern:

1. Start with the first number: 3.
2. The second number, 6, is obtained by doubling 3: [tex]\(3 \times 2 = 6\)[/tex].
3. The third number, 12, is obtained by doubling 6: [tex]\(6 \times 2 = 12\)[/tex].
4. The fourth number, 24, is obtained by doubling 12: [tex]\(12 \times 2 = 24\)[/tex].

From this pattern, we can see that each number in the sequence is double the previous one.

Now, to find the next number after 24, we double it:

[tex]\[24 \times 2 = 48\][/tex]

Therefore, the next number in the sequence is 48.