Answer:
f(n) = a+200(n -1)
Step-by-step explanation:
The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...
an = a + 200(n -1)
Written as a function of n, this is ...
f(n) = a + 200(n -1)
_____
Based on the problem description, we cannot tell how n relates to time, so we have created an f(n) that gives the same result as the recursive definition of f(n).
Answer:
$12.50
Step-by-step explanation:
Pick a point (I picked (2, 25))
Divide 25 by 2 to find rate
25/2 = 12.5
Step-by-step explanation:
Answer:30. hope this helps
(a) Differentiate each of the components to get r'(t). The rule is
.. d/dt (a*e^(bt)) = a*b*e^(bt)
The answer you have shown is the correct one.
(b) See the figure. The red curve is the position r(t) for 0 ≤ t ≤ 2. The dashed orange line is the tangent line, whose equation is
.. L(t) = r(0) +r'(0)*t = (2 +2t)i +(3 -3t)j