Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence:\newline11, 22, 55, 1010, _\_, 2626, 3737

Full solution

Q. Type the missing number in this sequence:\newline11, 22, 55, 1010, _\_, 2626, 3737
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe need to look at the differences between the numbers to see if there is a consistent pattern.\newlineDifference between 22 and 11 is 11.\newlineDifference between 55 and 22 is 33.\newlineDifference between 1010 and 55 is 55.\newlineIt seems like the differences are increasing by 22 each time.
  2. Predict Next Difference: Predict the next difference in the pattern.\newlineIf the pattern of differences continues, the next difference should be 5+2=75 + 2 = 7.
  3. Use Predicted Difference: Use the predicted difference to find the missing number. The missing number should be 10+7=1710 + 7 = 17.
  4. Verify Pattern Continues: Verify the pattern continues after the missing number.\newlineIf 1717 is the correct number, the difference between the next number (2626) and 1717 should be 99, which is 22 more than the last difference we used (77).\newline2617=926 - 17 = 9, which fits the pattern.
  5. Confirm Last Two Numbers: Confirm the pattern holds for the last two numbers in the sequence.\newlineThe difference between 3737 and 2626 should be 1111, which is 22 more than the previous difference (99).\newline3726=1137 - 26 = 11, which fits the pattern.

More problems from Sequences: mixed review