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]
3 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]3 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
What's the explicit formula for the sequence :")
zzz [600]

Hello from MrBillDoesMath!

Answer:

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,



Discussion:

The terms are 12, 9, 6, 3  so we are apparently subtracting 3 from each succeeding term. . Hence

a(n) = 12 - 3(n-1)          , n = 1,2,3.,,


Thank you,

MrB

7 0
3 years ago
Justine answered 68 questions correctly on an 80-question test. Express this amount as a fraction,percent, and decimal.
kenny6666 [7]
He answered .85, 85% or 17/20 correct on the test.
5 0
3 years ago
Read 2 more answers
There is a child that weighs 90 pounds and every time he eats pizza he gains 5 pounds every week if he ate pizza for 3 weeks how
vladimir2022 [97]

Answer: 105

Step-by-step explanation: 90+5+5+5

7 0
3 years ago
Fill in the table below
pickupchik [31]

Answer:

60_1hrs

30min-?

30 min-1 1/2

5 0
3 years ago
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 wo
sergejj [24]

Solution :

a). The point estimate of proportion of college graduates among women who work at home,

$\hat p =\frac{166}{506}$

  = 0.3281

99.5% confidence interval

$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$

$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times  (1- 0.3281)}{506}} \right)$

$=(0.3281 \pm 0.0586)$

$=(0.2695, 0.3867)$

6 0
3 years ago
Other questions:
  • Please help me, I don’t understand.
    15·1 answer
  • PLEASE HELP!!!!!
    11·1 answer
  • 23 ones times 2 tens
    13·2 answers
  • 6v-6+2(3v+3)=-2(v+9)
    6·1 answer
  • there are 68 students in the 6th grade in the election for class president gary got 18 votes julie got 22 votes and the third ca
    8·1 answer
  • In July, Jannat did yard work for a total of 26 hours. For
    7·1 answer
  • You start a small business making lamps. You decide to invest $3,150 of your own money to start
    12·1 answer
  • What is the graph of y = |x − 3| + 1
    12·1 answer
  • Kevin cut a plank a yard long. He painted 1/3 yard of the plank in black. How much of the plank is unpainted?
    6·1 answer
  • What is the square root of 64 +(200/5)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!