Q. Type the missing number in this sequence:4, 16, _, 256, 1,024, 4,096
Observe pattern: Let's observe the pattern in the sequence to determine the relationship between the numbers.We notice that each number seems to be a power of 4:4=41, 16=42, 256=44, 1,024=45, 4,096=46.So, we need to find the number that would be 43 to fill in the missing spot.
Calculate missing number: Now, let's calculate 43 to find the missing number.43=4×4×4=64.
Check consistency: We can check our answer by ensuring that the sequence remains consistent with the pattern of powers of 4. Before the missing number, we have 42, which is 16, and after the missing number, we have 44, which is 256. Since 64 is 43, it fits perfectly in the sequence.