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Type the missing number in this sequence:\newline11, 1010, 100100, _____, 10,00010,000, 100,000100,000

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Full solution

Q. Type the missing number in this sequence:\newline11, 1010, 100100, _____, 10,00010,000, 100,000100,000
  1. Identify Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term appears to be a power of 1010, which suggests that the sequence is geometric.
  2. Find Ratio: Identify the common ratio.\newlineThe second term 1010 divided by the first term 11 is 101=10\frac{10}{1} = 10.\newlineThe third term 100100 divided by the second term 1010 is 10010=10\frac{100}{10} = 10.\newlineTherefore, the common ratio is 1010.
  3. Calculate Missing Number: Find the missing number.\newlineThe common ratio is 1010, and the number before the missing term is 100100.\newlineTo find the next term, we multiply the third term by the common ratio: 100×10=1,000100 \times 10 = 1,000.

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