Q. Type the missing numbers in this sequence:____, −53, −55, −57, ____, −61
Sequence Type: Is the given sequence geometric or arithmetic?Here, the difference between consecutive terms seems to be the same.The given sequence is arithmetic.
Common Difference: Find the common difference in the arithmetic sequence.Two consecutive terms are −55 and −57.−57−(−55)=−57+55=−2Common Difference: −2
First Missing Number: Find the first missing number in the sequence.Add the common difference to −53.−53+(−2)=−53−2=−55This is not the missing number; we need to subtract the common difference from −53 instead.−53−2=−55This is incorrect as −55 is already in the sequence. We need to subtract the common difference from the first term we know, which is −53.−53−(−2)=−53+2=−51The first missing number is −51.