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Type the missing number in this sequence:\newline11, _____, 3636, 216216, 1,2961,296, 7,7767,776

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Full solution

Q. Type the missing number in this sequence:\newline11, _____, 3636, 216216, 1,2961,296, 7,7767,776
  1. Identify Pattern: We need to identify the pattern in the sequence. Let's look at the relationship between the consecutive numbers given.
  2. Power of 66: We notice that each number is a power of 66. To confirm this, let's check the given numbers:\newline1=601 = 6^0,\newline36=6236 = 6^2,\newline216=63216 = 6^3,\newline1,296=641,296 = 6^4,\newline7,776=657,776 = 6^5.
  3. Confirm Numbers: Since the sequence is increasing and the second number is missing, it should be 616^1, because that is the power of 66 that comes after 606^0 and before 626^2.
  4. Calculate Missing Number: Calculate 616^1 to find the missing number.\newline61=66^1 = 6.

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