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What is the common difference in the recursively defined arithmetic sequence a1=4 , an=an−1−5 .(1 point) The common difference...Question
What is the common difference in the recursively defined arithmetic sequence
a1 = 4,
An = An-1 - 5. (1 point) the common difference is??
a1 = 4,
An = An-1 - 5. (1 point) the common difference is??
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GPT-4o mini
In the given recursively defined arithmetic sequence, you have:
- \( a_1 = 4 \)
- \( a_n = a_{n-1} - 5 \)
The common difference \( d \) in an arithmetic sequence can be found from the recursive formula. Here, each term is defined as the previous term minus 5.
This means that:
\[
d = a_n - a_{n-1} = -5
\]
Therefore, the common difference is \(-5\).
- \( a_1 = 4 \)
- \( a_n = a_{n-1} - 5 \)
The common difference \( d \) in an arithmetic sequence can be found from the recursive formula. Here, each term is defined as the previous term minus 5.
This means that:
\[
d = a_n - a_{n-1} = -5
\]
Therefore, the common difference is \(-5\).
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