Answer:
OPTION B: f(n) = 4 +3n
Step-by-step explanation:
Substitute n =1 in each of the options. We compare the given sequence and the result obtained.
OPTION A: f(n) = 4(3)
Substituting n =1, we get: f(1) = = 4.
But, in the given sequence the first term is 7. So, this is not the recursive form.
OPTION B: f(n) = 4 + 3n
Substituting n = 1 2, 3, 4, 5
f(1) = 4 + 3(1) = 7
f(2) = 4 + 3(2) = 10
f(3) = 4 + 3(3) = 13
f(4) = 4 + 3(4) = 16
f(5) = 4 + 3(5) = 19
This is exactly the sequence given.
So, we say OPTION B is the answer.
OPTION C: f(n) = 3n + 7
Substituting n = 1.
f(1) = 3(1) + 7 = 10
It is discarded.
OPTION D: f(n) =
Substituting n = 1.
f(1) = = 7
Substituting n = 2
f(2) =
This option can be discarded as well.
Answer:
463.8
Step-by-step explanation:
The price index is 100 times the ratio of prices:
index = 2.63/.567 × 100 = 463.8
Answer:
all but 0.5
Step-by-step explanation:
thus answer should be right
Answer:
One needs to sell 220 units of the product to earn a maximum profit of $4,870.
Step-by-step explanation:
The revenue is .
The cost is
The profit is given by,
Profit = Revenue - Cost
....(1)
To maximize the above profit function in (1) we find its critical points.
To verify this critical point is a point of maximum, we calculate the second derivative of P(x) to get
Hence from the second derivative test, x = 220 is a point of maximum for P(x).
Substitute x in profit,
One needs to sell 220 units of the product to earn a maximum profit of $4,870.
Https://us-static.z-dn.net/files/db5/3b4bed3bf73da55d58a77a133114bfca.jpeg