Q. Type the missing number in this sequence:1, _, 16, 64, 256, 1,024
Identify Pattern in Sequence: We need to identify the pattern in the sequence. Let's look at the relationship between the numbers we know: 1,16,64,256, and 1,024.
Recognize Power of 2: We can see that each number is a power of 2. Specifically, 1 is 20, 16 is 24, 64 is 26, 256 is 28, and 1,024 is 210.
Determine Missing Power: To find the missing number, we need to determine the power of 2 that fits in the sequence between 20 and 24. The missing power of 2 should be 22, which is 4.
Verify Pattern Continuity: Let's check if the pattern holds. The sequence should be powers of 2 in increasing order: 20, 22, 24, 26, 28, 210. This means the missing number is 22, which is 4.