Answers
The sequence of the terms is -7,-1+5, and +11. A series is a collection of sequences.
What is the difference between a sequence and a series?A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.
Given equation ;
[tex]\rm a_n = a_{n-1}+6[/tex]
If,
[tex]\rm a_1 = -13[/tex]
The next term in the sequence is;
[tex]\rm a_2 = a_{2-1}+6 \\\\ \rm a_2 = a_{1}+6 \\\\ a_2 = -13 +6 \\\\ a_2 =-7[/tex]
[tex]\rm a_3 = a_{3-1}+6 \\\\ \rm a_3 = a_{3}+6 \\\\ a_3 = -7 +6 \\\\ a_3 =-1[/tex]
[tex]\rm a_4 = a_{4-1}+6 \\\\ \rm a_4 = a_{3}+6 \\\\ a_4 = -1 +6 \\\\ a_4 =+5[/tex]
[tex]\rm a_5 = a_{5-1}+6 \\\\ \rm a_5 = a_{4}+6 \\\\ a_5 = 5 +6 \\\\ a_5 =11[/tex]
Hence, the sequence of the terms is -7,-1+5, and +11.
To learn more about the sequence, refer to https://brainly.com/question/9737262.
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Related Questions
Which is the quotient for
2
.
21
÷
0
.
34
?
A.
0.65
B.
6.05
C.
6.5
D.
65
Answers
Answer:
The answer is 6.5
Step-by-step explanation:
1 1/4% in simplest form
Answers
Answer:
It can be written as 0.25 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Answer:
It is already in the simplest form, but you can convert It into many things.
Step-by-step explanation:
Make this into an improper fraction you: 1 x 4 + 1 then put the answer on the numerator and keep the denominator.
Mixed number = 5/4
Decimal = 1.25
because 1/4 = 0.25
and 1 is a whole number.
It’s for pre college
Answers
Answer:
answer is I do'not no I am sorry
someone plz help me asap
Answers
Answer:
1) 0.25
2) -2.342
Step-by-step explanation:
The total number of public electric charging units available for hybrid vehicles has increased exponentially since 2005. The number of outlets A(t) at these alternative fueling stations t years after 2005 can be approximated by A(t)=233(2.08)t, where t=0 corresponds to 2005. How many outlets were available in 2007, in 2009, in 2010?
Answers
a.
The number of outlets in 2007 are 1008 outlets
Since the number of outlets A(t) at these alternative fueling stations t years after 2005 is [tex]A(t) = 233(2.08)^{t}[/tex] with t = 0 corresponding to 2005.
To find the number of outlets in 2007, we substitute t = 2 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(2) = 233(2.08)^{2}\\A(2) = 233(4.3264)\\A(2) =1008.0512[/tex]
A(2) ≅ 1008 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2007 are 1008 outlets
b.
The number of outlets in 2009 are 4361 outlets
To find the number of outlets in 2009, we substitute t = 4 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(4) = 233(2.08)^{4}\\A(4) = 233(18.72)\\A(4) =4361.23[/tex]
A(4) ≅ 4361 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2009 are 4361 outlets
c.
The number of outlets in 2010 are 9071 outlets
To find the number of outlets in 2010, we substitute t = 5 into the equation.
So,
[tex]A(t) = 233(2.08)^{t}\\A(5) = 233(2.08)^{5}\\A(5) = 233(38.93)\\A(5) = 9071.36[/tex]
A(5) ≅ 9071 outlets (we round down to the nearest whole number since we can only have a whole number of outlets).
So, the number of outlets in 2010 are 9071 outlets
Learn more about exponential increase here:
https://brainly.com/question/18261561
An urn contains p black balls, q white balls, and r red balls; and n balls are chosen without replacement. a. Find the joint distribution of the numbers of black, white, and red balls in the sample. b. Find the joint distribution
Answers
The joint distribution of the numbers of the three colours in the sample without replacement is:
[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]
Let consider A, B, and C to denote the three variables that are black, white, and red balls in the sample.
i.e.
n = A + B + C
Now, the numbers of ways 'n' balls are chosen without replacement in an urn that comprises of p black balls, q white balls, and r red balls can be computed as follows:
[tex]\mathbf{\implies \Big( ^{p+q+r}_{ \ \ \ n} \Big) }[/tex]
Now, the number of ways whereby A black balls can be chosen from p black balls is expressed as:
[tex]\mathbf{\implies \Big( ^{p}_{ A} \Big) }[/tex]
The number of ways whereby B white balls can be chosen from q white balls is expressed as:
[tex]\mathbf{\implies \Big( ^{q}_{ B} \Big) }[/tex]
The number of ways whereby C red balls can be chosen from r red balls is expressed as:
[tex]\mathbf{\implies \Big( ^{r}_{ C} \Big) }[/tex]
Therefore, we can conclude that the joint distribution of the numbers of the three colours in the sample without replacement is:
[tex]\mathbf{P(A=a,B=b,C=c) = \dfrac{\Big( ^{p}_{ A} \Big) \Big( ^{q}_{ B} \Big) \Big( ^{r}_{ C} \Big) }{ \mathbf{\Big( ^{p+q+r}_{ \ \ \ n} \Big) } }\ \ \ \ where; n = A+B+C}[/tex]
Learn more about joint distribution here:
https://brainly.com/question/17283589?referrer=searchResults
I need help with this question. This is my first time using this app so I don’t know how to include multiple images in one message.
Answers
Answer:
<AC=11
Step-by-step explanation:
<AB=70 and <BC=99 what is <AC=?
180-70=110
110-99=11
11-11=0
Please help i need to do this and study a different class later
Answers
Answer:
im not sure sorry
Step-by-step explanation:
Simplify fully
18(x−3)−6(x−3)2
Answers
Answer:
6(x - 3)
Step-by-step explanation:
18(x−3)−6(x−3)2 =>
18x - 54 - 12 (x - 3 ) =>
18x - 54 - 12x + 36 =>
18x - 12x - 54 + 36 =>
6x - 18 or 6(x - 3)
both answers are good, althoguth this second one 6 (x - 3) should be the one that you are looking for
Help please I really need it now
Answers
Answer:
To get the answer use the dinamic format of barnic, its super easy to use please look it up and use the steps provided
Step-by-step explanation:
It willl help you so much.
$4.95 marked up 80%
Answers
Answer:
$8.91
Step-by-step explanation:
Multiply $4.95 times 0.80 ( convert 80% to a decimal ) and that will equal 3.96 .
Then , since you're marking it up , you're gonna add the 3.96 to 4.95 which will equal $8.91 .
:)
10.
Which equation is represented by the graph?
A. y = 1/2x^2 - 2x + 1
B. y = x2 − 4x + 1
C. y = -1/2x^2 - 2x + 1
D. y = −x2 − 4x + 1
Answers
Answer:
D. y = −x2 − 4x + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 2 , 5 )
Focus: ( − 2 , 19 /4 )
Axis of Symmetry: x= − 2
Directrix: y = 21 /4
x y
− 4 1
− 3 4
− 2 5
− 1 4
0 1
What is the total amount of fees if there were 6 withdrawals for cash in a month, 10 uses of an ATM,
and 16 debit card transactions? Enter a whole number, like 789
Answers
Answer:
34
Step-by-step explanation:
16+10+6=34
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3:4. Find the number of blue marbles in the bag. blue marbles
Answers
Answer: 4
Step-by-step explanation:
since they are comparing it red to blue marbles and in 3:4 ratio 4 is the second one and it is comparing red to BLUE the second 1 is blue
Evaluate 7+q(r−8)2
7
+
q
(
r
−
8
)
2
when q = 3 and r = 10.
Answers
7+(3)((10)-8)•2
2.) Follow PEMDAS (Order of Operations) to evaluate the expression.
7+3(2)•2
• In PEMDAS, simplify parenthesis first, so 10-8 was in parentheses which is equal to 2.
7+6•2 = 7+12
• In PEMDAS, Multiplication and Division is equal, so work left to right to whatever comes first. Multiplication came first and we worked left to right.
7+12 = 19.
After multiplication and division comes addition and subtraction which are also equal, so we also work left to right. We only have addition in this expression, so 7+12 = 19.
19 is your answer.
Answer:
the anwser is indeed 19 i just did the problem rn
Step-by-step explanation:
I JUST DID THE QUIZ
The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at $4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.
Answers
Answer:
Step-by-step explanation:
I TOO THE TEST ANSWER IS 12.67
Diego can purchase
glass jars locally for
$4.50 each or order
them online for $4.05
each. What percentage
will he save ordering
them online?
Answers
Answer:
10%
Step-by-step explanation:
4.5-4.05=.45
.45/4.5=.1
0.1= 10%
Given the formula a = s2 + 3b - c , find the value of a when s = 7, b = 13 and c = -24.
Answers
Answer:
a = 112
Step-by-step explanation:
[tex]a =s^{2} +3b-c[/tex]
Given that,
s = 7
b = 13
c = (-24)
Let's solve for a now.
[tex]a =s^{2} +3b-c[/tex]
[tex]a = 7^{2} +3*13-(-24)\\[/tex]
[tex]a=49+39+24\\[/tex]
[tex]a=88+24[/tex]
[tex]a=112[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
If you drew a line segment from the point when Kiley’s plane took off to the point when she got off the plane, at which point would the line segment end?
Answers
690
Step-by-step explanation:
Sophia's bank account
statement said she had -$25.
She deposited $47 into her
account. What is Sophia's
balance after she made the
deposit?
Answers
Answer:
22
Step-by-step explanation:
HELP ASAP DO NOT SPAM YOU WILL BE REPORTED 15 POINTS I WILL MARK BRAINIEST Graph the solution to this inequality on the number line. w – 0.7 > -1.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
Graph the lines y=3x+3
Answers
Answer:
Step-by-step explanation:
c) How could you use estimation to determine if your answer is reasonable? Explain.
Answers
There are 25 students in a class. 20% of the the students are in a club. How many students are in a club?
Answers
Answer:
5
Step-by-step explanation:
When taking a percent of a number, multiply the number by the percent divided by a hundred:
[tex]25 * \frac{20}{100}[/tex]
You get an answer of
5
Answer:
5 students are in a club.
Step-by-step explanation:
To do 20% of 25, you must first move the % until all numbers are on the right side of the decimal.
Observe: 20% ---> 0.20 aka 0.2
Now, you must take 0.2 and multiply it by 25 to get 20% of 25.
0.2 x 25 = 5
There's your answer, 5 students in a club :)
The price increases 20% each week. The price of oranges this week is $4.50 . What was the price last week?
Answers
Answer:
3.60
Step-by-step explanation:
4.50 · 0.2 = 0.94.50 - 0.9= 3.60original · percent as decimal = original + or - answer to step one= answer
Answer:
last week the where 3.6
Step-by-step explanation:
Graph y + 14 = -7x help me pls
Answers
Answer:
see attached graph
Step-by-step explanation:
There are a couple of ways you can look at this.
Point-Slope Form
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
Comparing this to the given equation, we see that ...
k = -14, m = -7, h = 0
That is, the equation describes a line with slope -7 through point (0, -14).
The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.
__
Slope-Intercept form
We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:
y = mx +b . . . . . . line with slope m and y-intercept (0, b)
Adding -14 to both sides of the given equation gives you this form.
y = -7x -14
The method of plotting is substantially identical to that described above.
__
Standard form
The standard form of the equation is ...
ax +by = c
where a > 0, and a, b, c are mutually prime integers.
Adding 7x-14 to both sides of the equation puts it into standard form:
7x +y = -14
The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...
c/a = -14/7 = -2
and the y-intercept is ...
c/b = -14/1 = -14
These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.
A sum of 2 integers is 41 and their difference is 5. Find the integers.
Answers
Answer:
A = 22
B = 19
Explanation:
Numbers one and two will be a variable A and B respectively.
A + B = 41 Equation one
A + B = 5 Equation two
Isolate one of the variables. Let's use A
A + B = 41 = A = 41 - B
Now replace the A in Equation two.
(41 - B) - B = 5
Simplify: 41 - 2B = 5
Isolate variable: 38 = 2B --> B = 19
Use the value of B to find A
A = 41 - B = 41 - 19 = 22
So the answer is A = 22 and B =19
if buying a pound of something is 6$ how much is 2.6 pounds
Answers
Answer: 15.6
Step-by-step explanation: 2.6 x 6 = 15.6
Answer:
$15.60
Step-by-step explanation:
If buying a pound of something is $6 then 2 pounds is $12.
0.6 pounds would be $3.60
1 = $6
0.9 = $5.40
0.8 = $4.80
0.7 = $4.20
0.6 = $3.60
0.5 = $3.00
0.4 = $2.40
0.3 = $1.80
0.2 = $1.20
0.1 = $0.60
0 = $0.00
subtract by .60 or 60 cents
Nathan usually drinks 33 ounces of water per day. He read that he should drink 59 ounces of water per day. If he starts drinking 59 ounces, what is the percent increase? Round to the nearest percent.
Answers
Step-by-step explanation:
33oz = 100%
1% = 100%/100 = 33/100 = 0.33oz
59 - 33 = 26oz increase
how many % are these 26oz compared to the original 33oz ?
we need to see how often 1% fits into 26oz.
26/0.33 = 78.78787878...%
rounded this means a 79% increase of drinking water.
express the recurring decimal 0.034 as a fraction in its simplest form
Answers
Answer:
It's 17/500
Step-by-step explanation:
I took the same test and I got it right!<3 pLeAsE gIvE bRaInLiEsT tYsM<3 HaVe A wOnDeRfUl... WeEkEnD
