Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence:\newline3,  4,  7,  12,  19,  ____,  39,  523,\;4,\;7,\;12,\;19,\;\_\_\_\_,\;39,\;52

Full solution

Q. Type the missing number in this sequence:\newline3,  4,  7,  12,  19,  ____,  39,  523,\;4,\;7,\;12,\;19,\;\_\_\_\_,\;39,\;52
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe need to determine how each number in the sequence is related to the previous numbers.
  2. Analyze Differences: Analyze the differences between consecutive terms.\newlineThe difference between 44 and 33 is 11.\newlineThe difference between 77 and 44 is 33.\newlineThe difference between 1212 and 77 is 55.\newlineThe difference between 1919 and 1212 is 77.\newlineIt seems that the differences are increasing by 3322 each time.
  3. Predict Next Difference: Predict the next difference in the pattern.\newlineIf the pattern of differences continues, the next difference should be 7+2=97 + 2 = 9.
  4. Calculate Missing Number: Calculate the missing number.\newlineAdd the predicted difference to the last known number in the sequence.\newline19+9=2819 + 9 = 28
  5. Verify Pattern Continues: Verify the pattern continues after the missing number.\newlineThe difference between 3939 and the missing number should be 1111, since we are adding 22 to the previous difference of 99.\newline28+11=3928 + 11 = 39, which is correct.
  6. Confirm with Next Difference: Confirm the pattern with the next difference.\newlineThe difference between 5252 and 3939 is 1313, which is 22 more than the previous difference of 1111.\newline39+13=5239 + 13 = 52, which is correct.

More problems from Sequences: mixed review