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Given:
The given sequence is:
To find:
The recursive formula for , the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, is the common difference.
Putting in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
Step 1. Isolate the variable x:
Step 2. Use the simplified inequality to graph:
- Select an OPEN point on x = -5
- Select a ray extending from -5 to positive infinity (GREATER than -5)
I hope this helps!