Q. Type the missing number in this sequence:−14,−10,−6,_____,258
Identify Sequence Type: Is the given sequence geometric or arithmetic?Here, the difference between consecutive terms appears to be the same.The given sequence is likely arithmetic.
Calculate Common Difference: Find the common difference in the arithmetic sequence.Two consecutive terms are −14 and −10.−10−(−14)=−10+14=4Common Difference: 4
Find Missing Number: Find the missing number in the sequence.Add the common difference to −6.−6+4=−2The missing number should be −2.
Verify Solution: Verify the solution by checking if the next term after the missing number, when added with the common difference, equals 2. −2+4=2The verification is correct.