Question

If the pattern 2, 4, 8, 16 continues, what is the 67th number in the sequence?

A) 2⁶⁷
B) 67²
C) 2x67
D) 67

Answer 1

To find the 67th number in the sequence, multiply 2 by 2 a total of 66 times.

Step-by-step explanation:

The pattern in the sequence is that each number is obtained by multiplying the previous number by 2. So, to find the 67th number, we can start with the first number, 2, and multiply it by 2 a total of 66 times:

1. 2
2. 2 x 2 = 4
3. 4 x 2 = 8
4. 8 x 2 = 16
5. ...
6. Result after 66 multiplications: 2 x 2 x 2 x ... x 2
7. So, the 67th number in the sequence would be: 2 x 2 x 2 x ... x 2 = 266