can u help complete the following sequence

Question

can you help complete the following sequence

7.5, 6.25, 5

i dont  understand i dont get it 

Answer 1

Anne,

Observe that the sequence is decreasing by 1 1/4 each time. 

so

7 1/2 - 1 1/4 = 6 1/4

and

6 1/4 - 1 1/4 = 5

therefore next in the sequence is

5 - 1 1/4 = ? 

and so on and so on!

Hope that helps!

Art

Answer 2

It's an AP, an Arithmetic sequence

with common difference = d = -5/4 = - 1.25

nth term = an = a1 +d(n-1)

a1 = 7.5

a2 = 6.25

a3 = 5

a4 = 3.75

a5 = 2.5

a6 = 1.25

a7 = 0

7.5, 6.25, 5, 3.75, 2.5, 1.25, 0, ...