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Type the missing number in this sequence:\newline11, 55, _\_, 125125, 625625, 3,1253,125

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Full solution

Q. Type the missing number in this sequence:\newline11, 55, _\_, 125125, 625625, 3,1253,125
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence is 1,5,_,125,625,3,1251, 5, \_, 125, 625, 3,125. We need to determine if the sequence is arithmetic (each term is added by a constant) or geometric (each term is multiplied by a constant).
  2. Check Common Ratio: Check for a common ratio.\newlineTo find a common ratio in a geometric sequence, we divide a term by its previous term. Let's check the ratio between 625625 and 125125.\newline125/5=25125 / 5 = 25\newline625/125=5625 / 125 = 5\newline3,125/625=53,125 / 625 = 5\newlineThe common ratio is 55.
  3. Calculate Missing Number: Calculate the missing number using the common ratio.\newlineThe number before the missing term is 55, and the number after is 125125. To find the missing number, we divide 125125 by the common ratio of 55.\newline1255=25\frac{125}{5} = 25\newlineThe missing number in the sequence is 2525.

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