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Type the missing number in this sequence:\newline11, 1010, 100100, _\_, 10,00010,000

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Full solution

Q. Type the missing number in this sequence:\newline11, 1010, 100100, _\_, 10,00010,000
  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 1010. 101=10\frac{10}{1} = 10 Common Ratio: 1010
  3. Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. \newlineSequence: 1,10,100,_,10,0001, 10, 100, \_, 10,000 \newlineCommon Ratio: 1010 \newlineFind the missing number in the sequence. \newlineThe number before the missing term is 100100. \newline100×10=1,000100 \times 10 = 1,000 \newlineMissing Number: 1,0001,000

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