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Type the missing number in this sequence:\newline1010, 100100, _\_, 10,00010,000, 100,000100,000

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Full solution

Q. Type the missing number in this sequence:\newline1010, 100100, _\_, 10,00010,000, 100,000100,000
  1. Observe pattern in sequence: We observe the given sequence to determine the pattern: 1010, 100100, _____, 10,00010,000, 100,000100,000. We notice that each number is a power of 1010. 1010 is 10110^1, 100100 is 10210^2, and 10,00010,000 is 10010000. To maintain the pattern, the missing number should be 10010011.
  2. Identify power of 1010: We calculate 10310^3 to find the missing number.\newline103=10×10×10=1,00010^3 = 10 \times 10 \times 10 = 1,000.
  3. Calculate missing number: We check the sequence with the found number to ensure it follows the pattern.\newlineThe sequence becomes 1010 (10110^1), 100100 (10210^2), 1,0001,000 (10310^3), 10,00010,000 (10410^4), 100,000100,000 (10510^5).\newlineEach number is indeed the next power of 1010, confirming our solution is correct.

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