Answer:
Option D, [tex]-290[/tex]
Step-by-step explanation:
Step 1: Determine the equation
We know that the initial value is 7 so that will be our starting point in the equation. We can also see that every time we go to the next number, our number has 3 subtracted from it. Therefore, we can use n-1 which will help us determine how much we need to subtract from the initial number. Here is the recursive equation
[tex]T = 7 - 3(n - 1)[/tex]
Step 2: Determine the 100th term of the sequence
[tex]T = 7 - 3(100 - 1)[/tex]
[tex]T = 7 - 3(99)[/tex]
[tex]T = 7 - 297[/tex]
[tex]T = -290[/tex]
Answer: Option D, [tex]-290[/tex]
