Answer: a = 5n - 14
Step-by-step explanation: To write an explicit formula for an arithmetic sequence, we first need to identify the zero term of our sequence.
Since we know this is an arithmetic sequence, each time a number increases by 5 so our common difference is 5.
To find the zero term of the sequence, we will need to extend our arithmetic sequence so we will be subtracting 5 from -9 and we will get -14.
Now, we use the generic version for finding the nth term of an arithmetic sequence.
Explicit formula: a = 5n - 14