The first four terms of a sequence are shown below 9,5,1,-3 Which of the following functions best defines this sequence?
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

B. f(1)=9, f(n+1)=f(n)+4 for n> or equal to 1

C. f(1)=9, f(n+1)=f(n)-5 for n> or equal to 1

D. f(1)=9, f(n+1)=f(n)+5 for n> or equal to 1

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

We can easily calculate the difference of terms:

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

All the above matches the first answer choice:

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step-by-step explanation: