Q. Type the missing numbers in this sequence:−31,−35,_____,−43,−47,_____
Identify Pattern: Identify the pattern in the sequence.We notice that the sequence is decreasing. To find the pattern, we look at the difference between the first two numbers.−35−(−31)=−35+31=−4The sequence appears to be decreasing by 4 each time.
Apply Pattern: Apply the pattern to find the missing numbers.The third number in the sequence should be 4 less than −35.−35−4=−39So, the missing number after −35 is −39.
Confirm Pattern: Confirm the pattern with the next known number in the sequence.To ensure our pattern is correct, let's check if subtracting 4 from −39 gives us the next known number, −43.−39−4=−43This confirms our pattern is correct.
Find Missing Numbers: Find the second missing number in the sequence.The last missing number should be 4 less than −47.−47−4=−51So, the missing number after −47 is −51.