Question

What is the next term for the given arithmetic sequence? -3, -2.25, -1.5, -0.75, ...

-0.25
0
0.75

Answer 1

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

Answer 2

Option B is the correct answer.

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.