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Type the missing number in this sequence:\newline44, 1616, _\_, 256256, 1,0241,024, 4,0964,096

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Full solution

Q. Type the missing number in this sequence:\newline44, 1616, _\_, 256256, 1,0241,024, 4,0964,096
  1. Observe pattern: Let's observe the pattern in the sequence to determine the relationship between the numbers.\newlineWe notice that each number seems to be a power of 44:\newline4=414 = 4^1, 16=4216 = 4^2, 256=44256 = 4^4, 1,024=451,024 = 4^5, 4,096=464,096 = 4^6.\newlineSo, we need to find the number that would be 434^3 to fill in the missing spot.
  2. Calculate missing number: Now, let's calculate 434^3 to find the missing number.\newline43=4×4×4=644^3 = 4 \times 4 \times 4 = 64.
  3. Check consistency: We can check our answer by ensuring that the sequence remains consistent with the pattern of powers of 44. Before the missing number, we have 424^2, which is 1616, and after the missing number, we have 444^4, which is 256256. Since 6464 is 434^3, it fits perfectly in the sequence.

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