Type the missing numbers in this sequence: 112, 107, 102, 97, _____, _____, 82

Identify Pattern: Identify the pattern in the sequence. The sequence is decreasing, so let's find the difference between the first two terms. 112 - 107 = 5 The sequence appears to be an arithmetic sequence with a common difference of -5.Apply Common Difference: Apply the common difference to find the next term in the sequence. The last known term is 97, so subtract the common difference from this term. 97 - 5 = 92 The next term in the sequence is 92.Find Following Term: Apply the common difference again to find the following term. Now that we have the term 92, subtract the common difference from this term. 92 - 5 = 87 The term following 92 in the sequence is 87.Verify Pattern: Verify the pattern by checking if the sequence continues correctly to the last given term, which is 82. Starting from the term we just found, 87, subtract the common difference once more. 87 - 5 = 82 This matches the last given term, confirming our pattern is correct.

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Type the missing numbers in this sequence: $\newline$ $112,\;107,\;102,\;97,\;\_,\;\_,\;82$

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Q. Type the missing numbers in this sequence:

\newline

112,\;107,\;102,\;97,\;\_,\;\_,\;82

Identify Pattern: Identify the pattern in the sequence. $\newline$ The sequence is decreasing, so let's find the difference between the first two terms. $\newline$ $112 - 107 = 5$ $\newline$ The sequence appears to be an arithmetic sequence with a common difference of $-5$ .
Apply Common Difference: Apply the common difference to find the next term in the sequence. $\newline$ The last known term is $97$ , so subtract the common difference from this term. $\newline$ $97 - 5 = 92$ $\newline$ The next term in the sequence is $92$ .
Find Following Term: Apply the common difference again to find the following term. $\newline$ Now that we have the term $92$ , subtract the common difference from this term. $\newline$ $92 - 5 = 87$ $\newline$ The term following $92$ in the sequence is $87$ .
Verify Pattern: Verify the pattern by checking if the sequence continues correctly to the last given term, which is $82$ . Starting from the term we just found, $87$ , subtract the common difference once more. $87 - 5 = 82$ This matches the last given term, confirming our pattern is correct.