1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rashid [163]
2 years ago
9

#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0
<h3>Answer:  50</h3>

========================================================

Explanation:

We're given f(1) = 3.2 which says the first term of the sequence is 3.2

To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...

f(x+1) = 2.5*f(x)

f(1+1) = 2.5*f(1)

f(2) = 2.5*f(1)

f(2) = 2.5*3.2

f(2) = 8

The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.

The third term is handled pretty much in a similar fashion

third term = 2.5*(second term)

third term = 2.5*8

third term = 20

Lastly, the fourth term f(4) is...

f(x+1) = 2.5*f(x)

f(3+1) = 2.5*f(3)

f(4) = 2.5*f(3)

f(4) = 2.5*20

f(4) = 50

The fourth term is 50.

The first four terms are: 3.2, 8, 20, 50

You might be interested in
Kai lives 3 kilometers from school, Brea lives 30,000 meters from school, and Cal lives 30,000 centimeters from school. Which st
Sedbober [7]

Answer:

D. Brea lives the farthest from school

Step-by-step explanation:

The easiest way to go about this is to get them all to the same unit. Let's do meters :)

3 kilometers = 3,000 meters (Kai)

30,000 centimeters = 300 meters (Cal)

and then of course 30,000 meters is already in the correct unit (Brea)

Given all of this, you can easily tell that the answer is D

6 0
2 years ago
10 The collection of distinct vowel letters from the words PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS​
irina1246 [14]

The collection of distinct vowel letters from the words PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS​

The words' vowel letters are [A,,E,I,O,U].

A, E, I, O, U, Y, and, as we'll see, W are vowels, but let's go more precise now. They are symbols (letters) that represent a certain kind of spoken sound called a vowel. According to phoneticians, a vowel is a spoken sound that is made without severely limiting the airflow from the lungs.

The alphabet consists of 26 letters, five of which are vowels (a, e, I, o, and u). The other letters are consonants. A vowel is a sound made by opening the mouth and allowing air to escape without closing it or clearing the throat.

Learn more about Vowels brainly.com/question/11388415

#SPJ9

4 0
1 year ago
HELP PLEASE
alexandr1967 [171]

Answer:

I attached the image that has all of the elements. If I missed something, please let me know and I will fix it.

8 0
2 years ago
2x + 7 =30, x = 3 true or false
RSB [31]

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

6 0
3 years ago
Read 2 more answers
If 4 people can stain a deck in 2 days, how many people would be required to stain the deck in only 1 day?
Andre45 [30]
8 people could stain a deck in one day.
5 0
3 years ago
Read 2 more answers
Other questions:
  • (02.05 MC)
    15·2 answers
  • How do you get-4 to 4<br> How do you get -4 to 4
    12·2 answers
  • The surface area of an open-top box with length L, width W, and height H can be found using the
    8·1 answer
  • Solve the equation for a. K=4a+9ab
    11·1 answer
  • 6. What is the value of the expression below when x = 6 and y = 2?
    6·1 answer
  • 1. What does this quote mean to you?
    9·2 answers
  • (64/25)^-3/2 x (64)^1/3​
    12·1 answer
  • Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, bu
    15·1 answer
  • Function or not a function?
    10·1 answer
  • You paint 13 of a wall in 14 hour. At that rate, how long will it take you to paint one wall?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!