Answer:
OPTION A
Step-by-step explanation:
The first term in the Arithmetic progression is f(1) = 3.
The general term is given to be: f(n) = f(n - 1) - 2
Therefore, to find second term, simply substitute n = 2 and so on.
So, Second term = f(2) = f(2 - 1) - 2
⇒ f(2) = f(1) - 2
= 3 - 2
= -1
Third term: n = 3
⇒ f(3) = f(3 - 1) - 2
= f(2) - 2
= -1 - 2
= - 3
Similarly, fourth term, f(4) = f(3) - 2
= - 3 - 2
= -5
And fifth term f(5) = f(4) - 2
= - 5 - 2
= - 7
Hence, OPTION A is the answer.