Q. Type the missing numbers in this sequence:−66, _____, −60, −57, _____, −51
Identify Pattern: To find the missing numbers in the sequence, we need to determine the pattern or rule that the sequence follows. We can start by looking at the known numbers and see if we can identify a consistent difference between them.
Calculate Differences: The difference between −60 and −57 is 3, and the difference between −57 and −51 is 6. It seems that the sequence might be increasing by a consistent amount. To confirm this, we need to find the difference between the first two known numbers, −66 and −60.
Confirm Pattern: The difference between −66 and −60 is 6. This suggests that the sequence might be increasing by 3 each time, since the difference between −60 and −57 is 3, and the difference between −57 and −51 is 6 (which is two steps of 3). Let's check this pattern by adding 3 to −66 to find the next number in the sequence.
Find Next Number: Adding 3 to −66 gives us −63. So the second number in the sequence should be −63 if the pattern of increasing by 3 holds true.
Continue Pattern: Now let's find the number after −57 by adding 3. Adding 3 to −57 gives us −54. So the fifth number in the sequence should be −54 if the pattern continues.
Review Sequence: Let's review the sequence with the numbers we've found to ensure it follows the pattern: −66, −63, −60, −57, −54, −51. Each number increases by 3 from the previous number, confirming our pattern.