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
stealth61 [152]
3 years ago
13

Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?

Mathematics
1 answer:
Ann [662]3 years ago
6 0

The first three terms of sequence are 9 , 6 , 3

<em><u>Solution:</u></em>

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

When n = 2

f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

f(3) = 6 - 3 = 3

f(3) = 3

Thus the third term is 3

When n = 4

f(4) = f( 4 - 1) - 3

f(4) = f(3) - 3

f(4) = 3 - 3

f(4) = 0

Thus the fourth term is 0

Thus first three terms of sequence are 9 , 6 , 3

You might be interested in
There are 24 red roses and 36 white roses in the bouquet. what is the ratio of red roses to white roses
otez555 [7]

Answer:

the required ratio is :

24 : 34 = 2 : 3

6 0
3 years ago
Read 2 more answers
HELP ME PLEASE DUE NOW 4. From last night to this
Murrr4er [49]

Answer:

36 degrees

Step-by-step explanation:

Ok so wouldnt you have to subtract 54 minus 18? and if so then

8 0
2 years ago
Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 6 when x = 1/3
murzikaleks [220]
Y='x'xk
6=1/3xk
K=18
Y='x'x18
Y=18x
7 0
3 years ago
Read 2 more answers
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year
NeX [460]
There are two types of interest: Simple interest and compounding interest:

Simple interest: F = P(1+in)
Compounding interest: F = P(1+i)ⁿ

The compounding interest is always bigger than simple interest for a given amount of n time. The effective interest rate is

Effective interest rate = 1.5%/year * 1 yr/12 months = 0.125% per month

Since there are 12 months in 1 year, n= 12. Then i = 0.125/100 = 0.00125

Difference = Compounded Interest - Simple Interest
Difference = P(1+i)ⁿ - P(1+in) = 1000(1+0.00125)¹² - 1000(1+0.00125*12)
Difference = $0.104

You will only have $0.104 more money than the simple interest.
3 0
3 years ago
A statement of an employee's biweekly earnings is given below.
iogann1982 [59]
Gross pay = <span>$98.00 + $52.88 + $12.37 + $22.54 + $667.17 = $852.96</span>
6 0
3 years ago
Other questions:
  • Slove algebraically<br><br>3x - 4y = -24<br>x +4y=8<br>​
    7·1 answer
  • How do you write <br> 82.33 in words
    9·2 answers
  • Which of the following is the mathematical representation of Boyle's law?
    10·1 answer
  • In a survey of 2,800 people who owned a certain type of​ car, 1,680 said they would buy that type of car again. What percent of
    7·1 answer
  • at noon aretha can watch a football game basketball game or a documentary about horses on tv.at 3:00,she can watch different foo
    9·1 answer
  • Monique has 2 less than half as many pairs of shoes as Dalia . Monique has four pairs of shoes. Which equation can be used to fi
    7·1 answer
  • Compare the size of 1 meter to the size of 1 centimeter. use your meterstick to help.
    14·1 answer
  • This relationship leads to the conclusion that there is no Pythagorean triple of this form that contains the integer 2. Why?
    5·1 answer
  • Can someone help me !
    14·1 answer
  • HELP PLZ ILL GIVE BRAINLIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!