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
sergij07 [2.7K]
3 years ago
13

(a(1) = -2 (a(n) = a(n − 1) – 5 Find the 4th term in the sequence.

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

a(4) = -17

Step-by-step explanation:

hello :

use :  a(n) =a(n-1)  -5

a(n) -a(n-1) = -5  (common differnce for  arithmetic sequence)

the ni-eme term is : a(n) = a(1) +(n-1)d       d = -5 and a(1) = -2

so : a(n) = -2 +(n-1)(-5)

a(n) = -5n+3

when : n= 4   a(4) = -5(4)+3 =-17

You might be interested in
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compareover the inte
Kobotan [32]

To check the decay rate, we need to check the variation in y-axis.

Since our interval is

-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}

To compare the decay rates we need to check the variation on the y-axis of both functions.

\begin{gathered} \Delta y_1=f(-2)-f(0)=4-1=3 \\ \Delta y_2=g(-2)-g(0)=4-0=4 \end{gathered}

Now, we calculate their ratio to find how they compare:

\frac{\Delta y_1}{\Delta y_2}=\frac{3}{4}

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.

And this is the fourth option.

4 0
1 year ago
Which is the equation of a line that is perpendicular to 6x – 4y = 9?
natulia [17]

6x – 4y = 9

4y = 6x - 9

y = 6/4 x - 9/4

y = 3/2 x - 9/4 this line has slope = 3/2


perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3


answer:

A. y= - 2/3 x - 4 (only this line has slope = -2/3)

8 0
3 years ago
At a concession​ stand, three hot dog(s) and two hamburger(s) cost ​$8.00​; two hot dog(s) and three hamburger(s) cost ​$8.25. F
qaws [65]

Answer:

$1.5

Step-by-step explanation:

Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers

> 3x + 2y = 8

> 2x + 3y = 8.25

The solution is (1.5, 1.75)

-- Check attachment for graph

5 0
2 years ago
Select all of the following statements that are true:
Maurinko [17]

Answer:

B. You shouldnt take a random sample of more than 5% of the population size.

Step-by-step explanation:

B. You shouldnt take a random sample of more than 5% of the population size. This is True, so as to avoid the research analysis to be more complex to interpret and analyzed

However, the following are not true statements:

A. Random samples only generate unbiased estimates of long-run proportions, not long-run means. This is False, as there may be sampling error, when picking the sample, which will lead to bias estimates in the long run proportions

C. There is no way that a random sample of 100 people can be representative of all adults living in the United States. This is False, as using the right factors such as gender, age, income, etc, in selecting the sample, 100 people is enough to use as sample of adults living in the United States

D. If this question is voted out, the alternate option is "larger samples are always better than smaller samples, regardless of how the sample was collected." This is False, larger samples are not always better than smaller samples. In fact, they are often difficult to analyze and interpret.

E. Nonrandom samples are always poor representations of the population: This is False, depending on the expected outcome of the research study. Some research studies required the research to use Nonrandom samples to reach verifiable conclusion.

8 0
3 years ago
30km=?miles<br>44,000in=?cm<br>21ft=?m<br>0.75miles=?dam<br>133yards=mm<br><br>Please show your work
kherson [118]
So there is this chart my teacher showed me to help find the answers to your questions I will send a picture but here are the answers

30km is 18.642m
44,000in is 111760cm
21ft is 6.401m
0.75m I’m not for sure sorry but
133yards is 121615.2mm

I hope that helps sorry I did not understand the one question 0.75m

5 0
3 years ago
Other questions:
  • Which of the following is NOT a true statement?
    12·2 answers
  •  why is 0.5%  not equal to 1/2?
    15·2 answers
  • Which situation is best represented by the following equation?
    10·2 answers
  • PLEASE HELP I really don’t understand this I’ve been stuck on it for days please
    10·1 answer
  • Solve the Equation for x<br> 5x + 6 = -3x – 10<br> O-2<br> 2<br> -3<br> 3
    11·1 answer
  • WILL GIVE BRAINLIEST
    9·2 answers
  • Which graph represents the function f(x) = |x| - 4?
    6·1 answer
  • I need help the answers that are there are
    6·1 answer
  • Please help me! 15 points giveaway
    12·1 answer
  • Find the factors of function f. Based on the factors, which statement is true about the graph of function f? A. The graph crosse
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!