Question
what is the common difference of the following arithmetic sequence? 102,100,98,96…
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Answered by
GPT 3.5
The common difference of an arithmetic sequence is the constant difference between any two consecutive terms.
To find the common difference in this sequence, we can compare consecutive terms. Starting from the first term, 102, we subtract the next term, 100, and find that it is -2.
Similarly, we find that the difference between the second term, 100, and the third term, 98, is also -2.
Continuing this pattern, the difference between the third term, 98, and the fourth term, 96, is also -2.
Since the difference between any two consecutive terms is always -2, we conclude that the common difference of this arithmetic sequence is -2.
To find the common difference in this sequence, we can compare consecutive terms. Starting from the first term, 102, we subtract the next term, 100, and find that it is -2.
Similarly, we find that the difference between the second term, 100, and the third term, 98, is also -2.
Continuing this pattern, the difference between the third term, 98, and the fourth term, 96, is also -2.
Since the difference between any two consecutive terms is always -2, we conclude that the common difference of this arithmetic sequence is -2.
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