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Type the missing number in this sequence:\newline11, 22, 44, 88, _____, 3232

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Full solution

Q. Type the missing number in this sequence:\newline11, 22, 44, 88, _____, 3232
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence is 1,2,4,8,_,321, 2, 4, 8, \_, 32. 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).\newlineLooking at the sequence, we can see that each term appears to be double the previous term, which suggests a geometric sequence with a common ratio.
  2. Calculate Common Ratio: Calculate the common ratio of the sequence.\newlineTo find the common ratio, we can divide a term by its preceding term. Using the second and first term:\newlineCommon Ratio = 21=2\frac{2}{1} = 2\newlineThis confirms that the sequence is geometric with a common ratio of 22.
  3. Find Missing Number: Use the common ratio to find the missing number.\newlineThe term before the missing number is 88. To find the missing number, we multiply 88 by the common ratio of 22.\newlineMissing Number = 8×2=168 \times 2 = 16

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