Q. Type the missing numbers in this sequence:−47, −39, _____, −23, −15, _____, 1
Identify Sequence Type: Is the given sequence geometric or arithmetic?Here, we need to determine if the sequence follows a pattern where the difference between consecutive terms is the same (arithmetic) or if each term is a constant multiple of the previous term (geometric).
Find Common Difference: Find the common difference in the arithmetic sequence.We can use the given terms to find the common difference. Let's take −39 and −47.−39−(−47)=−39+47=8Now let's check if the same difference applies to the other consecutive terms we know: −23 and −15.−15−(−23)=−15+23=8The common difference is 8, which confirms that the sequence is arithmetic.
Find First Missing Number: Find the first missing number in the sequence.To find the missing number between −39 and −23, we add the common difference to −39.−39+8=−31The first missing number is −31.
Find Second Missing Number: Find the second missing number in the sequence.To find the missing number between −15 and 1, we add the common difference to −15.−15+8=−7The second missing number is −7.