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Type the missing numbers in this sequence:\newline47-47, 39-39, _____, 23-23, 15-15, _____, 11

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Q. Type the missing numbers in this sequence:\newline47-47, 39-39, _____, 23-23, 15-15, _____, 11
  1. Identify Sequence Type: Is the given sequence geometric or arithmetic?\newlineHere, 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).
  2. Find Common Difference: Find the common difference in the arithmetic sequence.\newlineWe can use the given terms to find the common difference. Let's take 39-39 and 47-47.\newline39(47)=39+47=8-39 - (-47) = -39 + 47 = 8\newlineNow let's check if the same difference applies to the other consecutive terms we know: 23-23 and 15-15.\newline15(23)=15+23=8-15 - (-23) = -15 + 23 = 8\newlineThe common difference is 88, which confirms that the sequence is arithmetic.
  3. Find First Missing Number: Find the first missing number in the sequence.\newlineTo find the missing number between 39-39 and 23-23, we add the common difference to 39-39.\newline39+8=31-39 + 8 = -31\newlineThe first missing number is 31-31.
  4. Find Second Missing Number: Find the second missing number in the sequence.\newlineTo find the missing number between 15-15 and 11, we add the common difference to 15-15.\newline15+8=7-15 + 8 = -7\newlineThe second missing number is 7-7.

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