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Type the missing number in this sequence:\newline11, _\_, 1616, 6464, 256256

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Full solution

Q. Type the missing number in this sequence:\newline11, _\_, 1616, 6464, 256256
  1. Look for pattern rule: Look at the pattern to figure out the rule; 1,16,64,2561, 16, 64, 256 are all powers of 22 (20,24,26,282^0, 2^4, 2^6, 2^8).
  2. Find missing power: Find the missing power of 22 that fits the sequence; it should be 222^2 because it's between 202^0 and 242^4.
  3. Calculate missing number: Calculate 222^2 to find the missing number; 22=42^2 = 4.
  4. Check sequence: Check the sequence with the found number; 1,4,16,64,2561, 4, 16, 64, 256. It follows the pattern of powers of 22.

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