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Type the missing number in this sequence:\newline11, 66, 3636, _\_, 1,2961,296

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Full solution

Q. Type the missing number in this sequence:\newline11, 66, 3636, _\_, 1,2961,296
  1. Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term seems to be multiplied by a common ratio to obtain the next number. The given sequence appears to be geometric.
  2. Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are 11 and 66. 61=6\frac{6}{1} = 6 Common Ratio: 66
  3. Multiply to Find Next Term: We multiply each term by the common ratio to get the next term. \newlineSequence: 1,6,36,_,1,2961, 6, 36, \_, 1,296 \newlineCommon Ratio: 66 \newlineFind the missing number in the sequence. \newlineThe number before the missing term is 3636. \newline36×6=21636 \times 6 = 216 \newlineMissing Number: 216216
  4. Find Missing Number: Verify the found number by checking if the next term after the missing number is correctly obtained by multiplying with the common ratio. \newline216×6=1,296216 \times 6 = 1,296 \newlineCheck if this is true. \newline216×6=1,296216 \times 6 = 1,296 is correct.

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