Q. Type the missing numbers in this sequence:−70, _____, −80,−85,−90, _____, −100
Identify Pattern: Identify the pattern in the sequence.We notice that the sequence seems to be decreasing, but we need to find the common difference to understand the pattern. We can start by looking at the known consecutive terms −85 and −90.Calculate the difference between −85 and −90.−90−(−85)=−90+85=−5The common difference appears to be −5.
Calculate Common Difference: Use the common difference to find the missing term before −80. Since the common difference is −5, we add 5 to −80 to find the previous term. −80+5=−75 The missing term before −80 is −75.
Find Missing Term Before −80: Confirm the pattern by checking if the same common difference applies to the term before −75.If the sequence is consistent, adding 5 to −75 should give us the term before it, which is −70.−75+5=−70The pattern is consistent, confirming the common difference of −5.
Confirm Pattern Consistency: Use the common difference to find the missing term after −90. Since the common difference is −5, we subtract 5 from −90 to find the next term. −90−5=−95 The missing term after −90 is −95.