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Type the next number in this sequence:\newline4,4,6,6,9,9,13,13,18,18,00

Full solution

Q. Type the next number in this sequence:\newline4,4,6,6,9,9,13,13,18,18,00
  1. Identify Differences: To find the pattern in the sequence, we need to look at the differences between consecutive numbers. Difference between 66 and 44 = 64=26 - 4 = 2
  2. Analyze Increasing Differences: Difference between 99 and 66 = 96=39 - 6 = 3
  3. Calculate Next Difference: Difference between 1313 and 99 = 139=413 - 9 = 4
  4. Find Next Number: Difference between 1818 and 1313 = 1813=518 - 13 = 5
  5. Find Next Number: Difference between 1818 and 13=1813=513 = 18 - 13 = 5 We can see that the differences between consecutive numbers are increasing by 11 each time. If this pattern continues, the next difference should be 11 more than the previous difference, which was 55.\newlineNext difference = 5+1=65 + 1 = 6
  6. Find Next Number: Difference between 1818 and 13=1813=513 = 18 - 13 = 5 We can see that the differences between consecutive numbers are increasing by 11 each time. If this pattern continues, the next difference should be 11 more than the previous difference, which was 55.\newlineNext difference = 5+1=65 + 1 = 6 To find the next number in the sequence, we add the next difference to the last number in the sequence.\newlineNext number = 18+6=2418 + 6 = 24

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