Q. Type the missing number in this sequence:4, 16, 64, 256, _
Identify pattern: Identify the pattern in the sequence.We notice that each number in the sequence is a power of 4: 41, 42, 43, 44. To find the next number, we should continue this pattern.
Determine exponent: Determine the exponent for the next number in the sequence. The sequence follows the pattern of 4 raised to the power of n, where n is the position in the sequence. The next position would be n=5.
Calculate next number: Calculate the next number in the sequence using the pattern.The next number would be 4 raised to the power of 5: 45.
Perform calculation: Perform the calculation for 45. 45=4×4×4×4×4=1024