Determine the most probable next term in the list of numbers. Show work to support your answer.
280, 480, 684, 913, 1205, 1615, …
Set of known values:
x = 1 , y = 280
x = 2 , y = 480
x = 3 , y = 684
x = 4 , y = 913
x = 5 , y = 1205
x = 6 , y = 1615
The interpolating polynomial is :
y = ( 17 x ^ 4 - 86 x ^ 3 + 139 x ^ 2 + 4730 x + 1920 ) / 24
For x = 7 , y = 2215
Next term :
2215