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Type the missing number in this sequence:\newline66, 3636, _____, 1,2961,296, 7,7767,776, 46,65646,656

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Full solution

Q. Type the missing number in this sequence:\newline66, 3636, _____, 1,2961,296, 7,7767,776, 46,65646,656
  1. Identify Relationship Between Numbers: To find the pattern in the sequence, let's look at the relationship between the first two numbers.\newlineWe calculate 36÷636 \div 6 to see if there's a multiplication factor.\newline36÷6=636 \div 6 = 6\newlineSo, it seems each number might be 66 times the previous number.
  2. Confirm Multiplication Factor: To confirm the pattern, let's check if 1,2961,296 is 66 times 3636. We calculate 1,296÷361,296 \div 36. 1,296÷36=361,296 \div 36 = 36 This confirms that the pattern is indeed each number being 66 times the previous number.
  3. Calculate Missing Number: Now, let's find the missing number by multiplying 3636 by 66. We calculate 36×636 \times 6. 36×6=21636 \times 6 = 216 So, the missing number in the sequence should be 216216.
  4. Verify Pattern with Missing Number: To ensure there are no mistakes, let's verify that 216216 fits the pattern by checking if the next number, 1,2961,296, is 66 times 216216. We calculate 216×6216 \times 6. 216×6=1,296216 \times 6 = 1,296 This confirms that 216216 is the correct missing number in the sequence.

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