To describe a specific arith-
metic sequence, elijah wrote
the recursive formula:
[ f(0) = 30
f(n+1)=f(n)+7
write a linear equation that
models this sequence

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

When we substitute n=0, we get:

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

8(1/6)

step-by-step explain:

49/6= 48

8 (1/6)