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