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Type the missing number in this sequence:\newline1010, 100100, 1,0001,000, _____, 100,000100,000, 1,000,0001,000,000

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Full solution

Q. Type the missing number in this sequence:\newline1010, 100100, 1,0001,000, _____, 100,000100,000, 1,000,0001,000,000
  1. Observe pattern in sequence: We observe the pattern in the sequence to determine the missing number. Each number is 1010 times the previous number. 10×10=10010 \times 10 = 100, 100×10=1,000100 \times 10 = 1,000. To find the missing number, we multiply 1,0001,000 by 1010. 1,000×10=10,0001,000 \times 10 = 10,000.
  2. Determine missing number: We check the pattern to ensure that the next number after the missing one follows the same rule.\newline10,000×1010,000 \times 10 should equal the next number in the sequence, which is 100,000100,000.\newline10,000×10=100,00010,000 \times 10 = 100,000.
  3. Check pattern consistency: We verify that the sequence is consistent before and after the missing number. The sequence is 1010, 100100, 1,0001,000, 10,00010,000, 100,000100,000, 1,000,0001,000,000. Each number is 1010 times the previous number, confirming the pattern is correct.

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