What is the equation to this Alternating Sequence?
a: 1 4 7
b:0 8 16

Question

What is the equation to this Alternating Sequence?
a: 1   4   7
b:0   8   16

anonymous · Answer

I don't think they are alternating series; alternating series switch signs

anonymous · Answer

i think i may have put that wrong, i need to get from a to b somehow. i think that i have to do 2 2/3a - something, thats what i've got so far.

tad1 · Answer

For an increase of 8 for b, there is an increase of 3 for a.  So if we plotted a line, it would have the slope of 8/3.  When a = 1, b= 0 so the line has the point (1, 0 ) on it.  so we can write a linear equation using the point-slope form of the line:$$y-y1 = m(x-x1)$$