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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}}

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Put the following 3x + y &lt; 8 into linear equation, Slope Intercept formmat<br>​
Verdich [7]

We have to get the y alone. So we'll subtract 3x on both sides.

Our new expression is y<-3x+8

---

sorry if this doesn't help

5 0
3 years ago
Which function is graphed?
Alexandra [31]

Hey there! :)

Answer:

C. {x² + 4, x < 2

    {-x + 4   x ≥ 2

Step-by-step explanation:

This is a piecewise function, where the two equations are different. They are:

y = x²+ 4

y = -x + 4

The function x² + 4 is graphed where x < 2. (< is used because the circle is open)

The function -x + 4 is graphed where x ≥ 2. (≥ is used since the endpoint is closed)

Therefore, the correct answer is:

C. x² + 4, x < 2

   -x + 4   x ≥ 2

5 0
3 years ago
I don’t get this at all, can someone please help
JulsSmile [24]

Answer:

m = 44

Step-by-step explanation:

USe the pythagoream thyroem a^2 + b^2 = m^2. so 10^2 + m = 12^2

or 100 + m = 144. subtract 100 from both sides, you get m = 44

6 0
2 years ago
Evaluate the following equation: integral from 3 to infinity: 1/(x-2)^(3/2) dx
Bond [772]

The formula in solving the integral of the infinity of 3 is  ∫3<span>∞?</span>(1<span>)÷((</span>x−2<span><span>)<span><span>(3/</span><span>2)</span></span></span>)</span><span>dx</span>

Substitute the numbers given then solve

limn→inf∫3n(1/((n−2)(3/2))dn

limn→inf[−2/(n−2−−−−−√)−(−2/3−2−−−−√)

=0+2=2

 

Solve for the integral of 2 when 2 is approximate to 0. Transpose 2 from the other side to make it -2

∫∞3(x−2)−3/2dx=(x−2)−1/2−1/2+C

(x−2)−1/2=1x−2−−−−√

0−(3−2)−1/2−1/2=2

<span> </span>

8 0
3 years ago
Please help me im crying over this question
denis23 [38]

Answer:

y = 2x - 2

Step-by-step explanation:

y= mx+b

m= slope

b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)

Determine slope by using slope formula or by counting boxes

By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)

the slope is 2

the point where the line is touching the y-axis is (0, -2)

m = slope = 2

b  = y-intercept = -2

y = 2x + (-2) OR y = 2x -2

5 0
3 years ago
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