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Type the missing number in this sequence:\newline11, _\_, 100100, 1,0001,000, 10,00010,000, 100,000100,000

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Full solution

Q. Type the missing number in this sequence:\newline11, _\_, 100100, 1,0001,000, 10,00010,000, 100,000100,000
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLooking at the sequence, we can see that each term appears to be a power of 1010.\newline1=1001 = 10^0, 100=102100 = 10^2, 1,000=1031,000 = 10^3, 10,000=10410,000 = 10^4, 100,000=105100,000 = 10^5.
  2. Determine Missing Term: Determine the missing term.\newlineSince the sequence is increasing by powers of 1010, the missing term should be 10110^1, which is 1010.
  3. Verify Pattern: Verify the pattern.\newlineTo ensure that the missing term fits the pattern, we check if the sequence is consistent with the powers of 1010.\newline11 (100)(10^0), 1010 (101)(10^1), 100100 (102)(10^2), 1,0001,000 (103)(10^3), 10,00010,000 1100, 1111 1122.\newlineThe pattern holds true, so the missing term is correctly identified.

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