Respuesta :

the next term in the arithmetic sequence is 0 since its adding 0.75 every time.

Option B is the correct answer.

Step-by-step explanation:

Arithmetic progression have a first term and common difference.

Here first term, a = -3

Common difference, d = -2.25 - (-3) = -2.25 + 3 = 0.75

The n th term of an arithmetic progression is given by a + (n-1) d

Here we need to find fifth term, that is n = 5                    

                 Fifth term = a + (n-1) d = -3 + (5-1) x 0.75

                 Fifth term = a + (n-1) d = -3 + 4 x 0.75

                 Fifth term = a + (n-1) d = -3 + 3 = 0

So next term for the given arithmetic sequence = 0

Option B is the correct answer.