Answer:
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write: instead.
