Answer:
Option (B) is correct.
The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
Step-by-step explanation:
Given sequence 7 ,4, 1,-2
We have to choose a function from given options that best defines this sequence.
Let f(n) denotes the value at nth position,
Like f(1) = 7 , so here, n= 1.
Since next term is 4 = f(2)
4 can be written as 7 - 3 = f(1) -3
Next term is 1 = f(3)
1 can be written as 4-1 = f(2) - 3
Next term is -2 = f(4)
-2 can be written as 1-3 = f(3) - 3
Thus, following the sequence and writing in general form for n
f(n+1) = f (n) -3 , n ≥ 1
Thus, option (B) is correct.
The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
