F(x) = x + 2 g(x) = x – 4 (f g)(x) =
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Given:
The given arithmetic sequence is:
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
Here, the first term is -3. So, .
The common difference is:
The recursive formula of an arithmetic sequence is:
Where, d is the common difference.
Putting , we get
Therefore, the recursive formula of the given arithmetic sequence is , where
.