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
.
Answer:
First option:
Second option:
Fourth option:
Step-by-step explanation:
Rewrite each equation in the form and then use the Discriminant formula for each equation. This is:
1) For :
Then:
Since this equation has no real solutions, but has two complex solutions.
2) For :
Then:
Since this equation has no real solutions, but has two complex solutions.
3) For :
Then:
Since this equation has one real solution.
4) For :
Then:
Since , this equation has no real solutions, but has two complex solutions.