Q. Type the missing number in this sequence:−80, −83, −86, −89, _____, −95, −98
Observe Pattern: We observe the pattern in the sequence to determine the rule that generates it.Looking at the differences between the numbers, we see that each number is 3 less than the previous one.−83−(−80)=−3−86−(−83)=−3−89−(−86)=−3This pattern suggests that the sequence is decreasing by 3 each time.
Determine Rule: To find the missing number, we subtract 3 from the last known number in the sequence before the blank, which is −89. −89−3=−92This should be the missing number in the sequence.
Find Missing Number: We can check our answer by adding 3 to the missing number to see if we get the next number in the sequence, which is −95. −92+3=−95This matches the next number in the sequence, confirming that our answer is correct.