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Type the missing number in this sequence:\newline22, 44, 88, _\_, 3232, 6464

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Full solution

Q. Type the missing number in this sequence:\newline22, 44, 88, _\_, 3232, 6464
  1. Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term appears to be multiplied by a common ratio to obtain the next number. The given sequence is likely geometric.
  2. Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are 22 and 44. 42=2\frac{4}{2} = 2 Common Ratio: 22
  3. Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. \newlineSequence: 2,4,8,_,32,642, 4, 8, \_, 32, 64 \newlineCommon Ratio: 22 \newlineFind the missing number in the sequence. \newlineThe number before the missing term is 88. \newline8×2=168 \times 2 = 16 \newlineMissing Number: 1616
  4. Find Missing Number: Verify the found number by checking if the sequence continues correctly after the missing number. \newline16×2=3216 \times 2 = 32 \newlineThe next term after the missing number is indeed 3232, which matches the given sequence.

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