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
umka21 [38]
3 years ago
12

Match each sequence to its appropriate recursively defined function

Mathematics
1 answer:
aniked [119]3 years ago
7 0

Answer:

  • f(1) = -24; f(n) = 4·f(n-1)
  • f(1) = 13; f(n) = f(n-1) + 26
  • f(1) = 28; f(n) = -4·f(n-1)

Step-by-step explanation:

Identify the first term of the sequence. First terms are -24, 13, 28. Find the matching f(1). There are two choices for each first term.

Then determine the relation of each term to the previous term. In two of the sequences, a factor of 4 is involved. For the sequence starting with -24, the adjacent terms have the same sign, so the factor is +4. For the sequence starting with 28, adjacent terms have alternating signs, so the factor is -4.

For the sequence starting with 13, the second term is 3 times the first, but it is also 26 added to the first. You have to look at the next term to see if the sequence is geometric with a ratio of 3, or arithmetic with a difference of 26. The latter is the case, so the recursive definition will involve addition, not multiplication.

The recursively defined functions are shown above in the order of the given sequences.

You might be interested in
In ΔLMN, MN = 15, NL = 20, and LM = 6. Which list has the angles of ΔLMN in order from smallest to largest?
Gnom [1K]

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

m<N, m<L, m<M

6 0
3 years ago
Write a word problem for n($25)=$125​
velikii [3]
Julie bought (n) shirts. Each shirt cost $25. The total amount Julie spent on shirts was $125. How many shirts did Julie buy?
5 0
3 years ago
1. find the balance after one year if you deposit all the money into an account that pays $2.50 in simple interest each month (t
Naddika [18.5K]

1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630

2. Balance after 1 year with compounded interest = P ( 1 + \frac{r}{n})^{nt}

= 600 ( 1 + \frac{0.05}{12})^{12}= 600 (1.0511) = $630.66 = approx. $630

6 0
3 years ago
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
olga nikolaevna [1]

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

7 0
2 years ago
Read 2 more answers
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5
bonufazy [111]

Answer: Josh don't have enough time :/

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • During flu season, there were 124 students out of school on a particular day. If there are 775 students in the school, what perc
    7·1 answer
  • How do you write this in numbers<br><br> thirty and fifteen-thousandths
    9·1 answer
  • Express this number in scientific notation 763 thousandths
    14·1 answer
  • Use the order of operations to simplify the expression
    5·2 answers
  • A baseball has a 15 cm diameter what is the voulme of the contents of the ball
    14·1 answer
  • 4. The amount of money in Dave's checking account for the first week of
    11·1 answer
  • Slope= 5 passing through (-4,6)
    8·1 answer
  • HELPPPPPP?????????????????,,,,,,,????
    11·2 answers
  • Which diagram matches the equation or description.
    6·1 answer
  • The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the ot
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!