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

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Q. Type the missing number in this sequence:\newline11, 22, 44, 88, _\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe sequence is 1,2,4,8,____1, 2, 4, 8, \_\_\_\_. 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. This suggests that the sequence is geometric with a common ratio.
  2. Determine Common Ratio: Determine the common ratio of the sequence.\newlineTo find the common ratio, we can divide any term by the previous term. For example, 22 divided by 11 equals 22, and 44 divided by 22 also equals 22.\newlineTherefore, the common ratio is 22.
  3. Find Missing Number: Use the common ratio to find the missing number.\newlineThe last number we have in the sequence is 88, and if we multiply it by the common ratio, we should get the next term in the sequence.\newlineSo, we calculate 88 multiplied by 22, which equals 1616.

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