Question
What is the common difference in the recursively defined arithmetic sequence a1=4
, an=an−1−5
.(1 point)
The common difference is
.
Remaining Attempts : 3
, an=an−1−5
.(1 point)
The common difference is
.
Remaining Attempts : 3
Answers
There are no human answers yet.
Answered by
GPT-4o mini
In an arithmetic sequence, the common difference is the constant amount that you add (or subtract) from one term to get to the next term.
In your recursively defined sequence, you have:
- \( a_1 = 4 \)
- \( a_n = a_{n-1} - 5 \)
The formula \( a_n = a_{n-1} - 5 \) indicates that each term is obtained by subtracting 5 from the previous term.
Therefore, the common difference is \(-5\).
So, the common difference is \(-5\).
In your recursively defined sequence, you have:
- \( a_1 = 4 \)
- \( a_n = a_{n-1} - 5 \)
The formula \( a_n = a_{n-1} - 5 \) indicates that each term is obtained by subtracting 5 from the previous term.
Therefore, the common difference is \(-5\).
So, the common difference is \(-5\).
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