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
loris [4]
3 years ago
5

F(1)=-12, f(n)=2f(n-1) find first 4 terms

Mathematics
1 answer:
amid [387]3 years ago
4 0
<h3>First four terms are:   -12, -24, -48, -96</h3>

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

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

You might be interested in
A driver descends from an elevation of 6 feet below sea level to an elevation of 98 feet below see level in 4 equal intervals. W
mafiozo [28]
Hi can you help me plz thanks
5 0
3 years ago
What value of x makes the equation 3 = <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3x%2B%206%7D" id="TexFormula1" title="
disa [49]
3^3=3x+6,so3x=27-6=21,sox=7
3 0
3 years ago
Read 2 more answers
Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?
Deffense [45]

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

\large \boldsymbol{} 600p-8h=480 min  \\\\ x \ p-4  min   \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5  \ portraits \\\\ \rm Answer : 5

3 0
3 years ago
In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys
marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0
3 years ago
I need to know the answer to my question
stiks02 [169]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2789579

_______________


Solve the incomplete quadratic equation:

\mathsf{3m^2-24m=0}\\\\ \mathsf{3m\cdot m-3m\cdot 8=0}\\\\ \mathsf{3m\cdot (m-8)=0}\\\\ \begin{array}{rcl} \mathsf{3m=0}&~\textsf{ or }~&\mathsf{m-8=0}\\\\ \mathsf{m=0}&~\textsf{ or }~&\mathsf{m=8} \end{array}


Solution set:   S = {0,  8}.


I hope this helps. =)

4 0
3 years ago
Other questions:
  • Could a quadrilateral have 4 obtuse angles
    7·1 answer
  • 3x - 2y + 3z = 6
    6·1 answer
  • 4a+10=38 solve the equation
    9·2 answers
  • Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit repr
    6·1 answer
  • A mail distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land
    9·1 answer
  • Lindsey wants to find out, on average, how many hours per week seventh grade students at her school spent studying. She decided
    9·1 answer
  • Use parallelogram ABCD to answer the following questions
    8·1 answer
  • two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together the
    6·2 answers
  • what is the sum and difference between the numbers 473 and the number obtained by reversing the digit at ones in hundred place?​
    12·1 answer
  • How do u make lean purple and how does it get purple and instructions??!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!