Answer:
There's 3 questions which one do I answer?
Step-by-step explanation:
The Fibonacci Sequence is a stream of numbers that typically begins with a "0" or "1". From there, any number placed after would be added to the previous number.
For instance, if I started with a "1", and the next number was a "2", the number after would be a "3". From this "3", it would be a "5", the next number would then be a "8".
It would look like this:
1, 2, 3, 5, 8
Answer: Answer with Step-by-step explanation:
Since we have given that
Cost of party per person = $20.
Let the number of friends be 'f'.
Let the cost of party be 'p'.
According to question, our equation becomes
p= 2f
So, if p = 100, then f = p/2 = 100/2 = 50 if f = 10, then, p = 2f = 2 • 10 = 20 If p = 300 then, f = 300/2 = 150, If f = 20, then, p = 2f = 2 • 20 = 40 So, Table as follows:
Number of friends cost of party
50 100
10 20
150 300
20 40
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6
Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).
Let's experiment. What if f(x) = x^2 + 2?
Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).
Thus, f(x) is x^2 + 2.
Answer:
![a_n=48*1.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D48%2A1.5%5E%7Bn-1%7D)
Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
![r=\frac{72}{48}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B72%7D%7B48%7D%3D1.5)
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
![a_n=a_1*r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%2Ar%5E%7Bn-1%7D)
Where a1=48 and r=1.5
![\boxed{a_n=48*1.5^{n-1}}](https://tex.z-dn.net/?f=%5Cboxed%7Ba_n%3D48%2A1.5%5E%7Bn-1%7D%7D)
For example, to find the 5th term:
![a_5=48*1.5^{5-1}=48*1.5^{4}=243](https://tex.z-dn.net/?f=a_5%3D48%2A1.5%5E%7B5-1%7D%3D48%2A1.5%5E%7B4%7D%3D243)