Question

the first four terms of a sequence are shown below 8,5,2,-1 which of the following function best defines this sequence

Answer 1

Answer:

D

Step-by-step explanation:

Note the difference between the consecutive terms is constant, that is

5 - 8 = 2 - 5 = - 1 - 2 = - 3

This means that to obtain the next term in the sequence f(n + 1) subtract 3 from the previous term f(n)

Hence

f(n + 1) = f(n) - 3 , with f(1) = 8 , n ≥ 1

As an example the term following - 1

f(5) = f(4) - 3 = - 1 - 3 = - 4

f(6) = f(5) - 3 = - 4 - 3 = - 7 , and so on