Q. Type the missing number in this sequence:____, −32, −37, −42, −47, −52, −57
Identify Pattern: We need to determine the pattern in the sequence. By looking at the differences between the numbers, we can identify the pattern.−32−(−37)=5−37−(−42)=5−42−(−47)=5−47−(−52)=5−52−(−57)=5The pattern is that each number is 5 less than the previous number.
Find Missing Number: To find the missing number, we will add 5 to −32, since we are moving backwards in the sequence.Missing number =−32+5Missing number =−27
Verify Pattern: We should check the pattern by continuing the sequence with the found number to ensure it fits the pattern.−27−(−32)=5The pattern holds, so −27 is the correct missing number.