Answer:
f(1) = 93
f(n) = f(n - 1) + 4
Step-by-step explanation:
The recursive formula for an arithmetic sequence is given as:
f(1) = a
f(n) = f(n - 1) + d
where a = first term and d = common difference
An arithmetic sequence is in the form:
f(n) = a + d(n - 1)
where a = first term and d = common difference
The common difference in f(n) = 93 + 4(n-1) is 4.
The first term is 93.
The recursive formula is therefore:
f(1) = 93
f(n) = f(n - 1) + 4
Answer:

Step-by-step explanation:
We want an exponential function that goes through the two points (0, 8) and (2, 200).
Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:

Simplify:

So we now have:

Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:

Solve for b. Dividing both sides by 8 yields:

Thus:

Hence, our exponential function is:

I think I believe it’s 8000
Answer:
base = 15 units
Step-by-step explanation:
We are given area of a triangle = 52.5 sq. units
Height is given as 7 and we have to find the base.
Using formula for area of triangle:
Area of triangle = 


52.5 * 2 = base × 7
105 = base × 7
base = 15