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Type the missing number in this sequence:\newline1010, _\_, 1,0001,000, 10,00010,000, 100,000100,000, 1,000,0001,000,000

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Full solution

Q. Type the missing number in this sequence:\newline1010, _\_, 1,0001,000, 10,00010,000, 100,000100,000, 1,000,0001,000,000
  1. Identify Pattern: We need to identify the pattern in the sequence. Let's look at the numbers given and see if we can determine how each number relates to the one before or after it.
  2. Recognize Power of 1010: We can see that each number is a power of 1010. Starting from 1010 (which is 10110^1), the next numbers seem to be increasing by a power of 1010 each time. So, after 1010 should come 10210^2, which is 100100.
  3. Confirm Pattern: Let's check if the pattern holds for the next numbers in the sequence. 1,0001,000 is 10310^3, 10,00010,000 is 10410^4, 100,000100,000 is 10510^5, and 1,000,0001,000,000 is 10610^6. This confirms our pattern is correct.
  4. Determine Missing Number: Now that we have confirmed the pattern, we can confidently say that the missing number in the sequence is 100100, which is 10210^2.

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