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Type the missing number in this sequence:\newline6,  36,  ____,  1,296,  7,7766,\;36,\;\_\_\_\_,\;1,296,\;7,776

Full solution

Q. Type the missing number in this sequence:\newline6,  36,  ____,  1,296,  7,7766,\;36,\;\_\_\_\_,\;1,296,\;7,776
  1. Identify Pattern: We need to identify the pattern in the sequence. Let's look at the relationship between the first two numbers: 3636 is 66 squared (6×66 \times 6). This suggests that each number might be the square of the previous number.
  2. Confirm Pattern: To confirm the pattern, let's check if 7,7767,776 is the square of 1,2961,296. The square root of 7,7767,776 is 8888, and we need to check if this is the same as 1,2961,296 divided by 66 (since 66 is the first number in the sequence and we are assuming a pattern of multiplication by 66).\newline1,2966=2161,296 \: 6 = 216. Now we need to check if 216216 squared is equal to 7,7767,776.\newline1,2961,29611, which is not equal to 7,7767,776. This means there is a math error in our pattern assumption.

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