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
labwork [276]
3 years ago
12

What is the recursive rule for the sequence? 3, −1, 1/3, −1/9, ...

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

Step-by-step explanation:

(-1/9) /(1/3) = (1/3)/(-1) = -1/3....the common ratio of geometric  sequence  

the recursive rule is :

the nth term is :  An =A1 × r^(n-1)

r : the common ratio  

A1 ; the first term

r  = -1/3  and A1 =  3

An =3 ×(-1/3)^(n-1)

laila [671]3 years ago
6 0

\displaystyle a_1=-3\\r=-\dfrac{1}{3}\\a_n=a_{n-1}\cdot \left(-\dfrac{1}{3}\right)=-\dfrac{1}{3}a_{n-1}\\\\\\{\begin{cases}a_1=-3\\a_n=-\dfrac{1}{3}a_{n-1}\end{cases}}

You might be interested in
Two jet planes simultaneously started travelling in opposite directions from the same airport. Four hours later they were 3800 m
alexira [117]

Answer:

Step-by-step explanation:

let the speed of one plane=x

speed of other plane=x+80

time=4 hrs

then 4x+4(x+80)=3800

4x+4x+320=3800

8x=3800-320

or 8x=3480

x=435

speed of one plane=435 m/h

speed of other plane=435+80=515 m/h

2.

Let he walks x hrs

then he take a taxi for 2-x hrs

4x+(2-x)50=31

4x+100-50x=31

-46x=-69

x=\frac{-69}{-46}=\frac{3}{2}

so he walks 3/2 hrs=1.5 hrs

travels by taxi=2-1.5=0.5 hrs

distance traveled by taxi=0.5×50=25 miles

8 0
3 years ago
If f(x) = 5x + 40, what is f(x) when x = -5?
Makovka662 [10]

Answer:

f(-5) = 15

Step-by-step explanation:

f(x)=5x+40

plug in x as -5

f(-5) = 5(-5) + 40

multiply 5 by -5

-25+40

add -25 to 40

15

6 0
3 years ago
You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please
zzz [600]

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

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

                                                         initial

the initial is $169.52

and the final  $178

3 0
2 years ago
I WILL GIFT YOU 30 Brainly (On Jesus)
Tpy6a [65]

Answer:

since highest degree is 2 the degree of a polynomial is also 2.

since the highest exponent is 2 the leading coefficient is 1.

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line that passes through the points(−8,2) and (-11, 3)? Write your answer in simplest form.
Fiesta28 [93]

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

7 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP WILL GIVE BRAINLIEST the number of students at north middle school is 1240 and is decreasing by 25 students per year
    11·1 answer
  • What is 4 1/2 minus 3 5/6
    8·2 answers
  • Math question!!!<br><br><br> what is 0 x 0+3
    15·2 answers
  • What is the approximate circumference of the circle shown below?
    7·2 answers
  • Is (a + b) and (a - b)? perfect square trinomials?<br> O True<br> O False
    11·2 answers
  • Can I have help please
    6·1 answer
  • What are the first three common multiples of 8 and 12
    8·1 answer
  • C is the circumcenter of APQR.<br> PC=3x+7, RC=5x-15, &amp; QC=51-X<br> x=[?]
    15·1 answer
  • Every square is a trapezoid. Is this true or false?
    11·1 answer
  • You wish to buy a new set of strings for your guitar. You phone five different
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!