Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing numbers in this sequence:\newline__\_\_, 1919, 2323, __\_\_, 3131, 3535

Full solution

Q. Type the missing numbers in this sequence:\newline__\_\_, 1919, 2323, __\_\_, 3131, 3535
  1. Determine Pattern: We need to determine the pattern in the sequence to find the missing numbers. Let's look at the numbers provided: 1919, 2323, 3131, 3535. We can see that the difference between 2323 and 3131 is 88, and the difference between 3131 and 3535 is 44. We need to check if there's a consistent pattern that applies to the entire sequence.
  2. Analyze Differences: Let's check the difference between 1919 and 2323, which is 2319=423 - 19 = 4. This suggests that the sequence might be increasing by 44 each time. However, since the difference between 3131 and 3535 is also 44, but the difference between 2323 and 3131 is 88, the pattern is not consistent. We need to look for another pattern.
  3. Consider Alternating Increments: If we consider the possibility of alternating increments, we can see that the sequence increases by 44, then by 88, and then by 44 again. If this pattern holds, the number before 1919 should be 194=1519 - 4 = 15. Let's check if this fits the pattern.
  4. Apply Alternating Pattern: Now, let's apply the alternating pattern to find the number after 2323. If the sequence increases by 44, then by 88, the number after 2323 should be 23+8=3123 + 8 = 31. This matches the number already given in the sequence, confirming our pattern.
  5. Find Missing Numbers: We have now found the missing numbers in the sequence. The number before 1919 is 1515, and the number after 2323 is 3131, which was already given. The sequence with the missing numbers filled in is: 15,19,23,31,3515, 19, 23, 31, 35.

More problems from Arithmetic sequences