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Type the missing number in this sequence:\newline55, _\_, 125125, 625625, 3,1253,125, 15,62515,625

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Full solution

Q. Type the missing number in this sequence:\newline55, _\_, 125125, 625625, 3,1253,125, 15,62515,625
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that each number seems to be a multiple of the previous number. To confirm the pattern, we can divide each number by the previous one.\newline625÷125=5625 \div 125 = 5\newline3,125÷625=53,125 \div 625 = 5\newline15,625÷3,125=515,625 \div 3,125 = 5\newlineThis shows that each number is 55 times the previous number.
  2. Find Missing Number: Use the pattern to find the missing number.\newlineSince each number is 55 times the previous number, we can divide 125125 by 55 to find the missing number.\newline125÷5=25125 \div 5 = 25
  3. Check Pattern: Check the pattern with the found number.\newlineTo ensure that 2525 is the correct missing number, we multiply it by 55 to see if we get the next number in the sequence, which is 125125.\newline25×5=12525 \times 5 = 125\newlineThis confirms that 2525 is the correct missing number in the sequence.

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