Use the recursive formula to find the first five terms in the arithmetic sequence
f(1) = 3
f(n) = f(n − 1) – 2

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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.