what is the answer to this question?
posted a picture for better understanding:)
Answers
Answer:
5
Step-by-step explanation:
Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.
From the question,
[tex]a_{n} = a_{n-1} - 5[/tex]
if n = 2 ;
[tex]a_{2} = a_{1} - 5[/tex]
[tex]a_{2} = 20 - 5 = 15\\[/tex]
Thus, we got [tex]a_{2} = 20[/tex].
if n = 3 ;
[tex]a_{3} = a_{2} - 5[/tex]
[tex]a_{3} = 15 - 5 = 10[/tex]
Thus, we got [tex]a_{3} = 10[/tex].
if n = 4 ;
[tex]a_{4} = a_{3} - 5[/tex]
[tex]a_{4} = 10 - 5 = 5[/tex]
Thus, we got [tex]a_{4} = 5[/tex].
***There are many ways to solve this question
example:
[tex]a_{n} = a_{n-1} - 5[/tex]
[tex]a_{n} - a_{n-1} = - 5[/tex]
Substitute n with 2, 3, 4
Then, we will get 3 equations.
Sum them up;
We will get
[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]
Related Questions
How can you solve problems involving percents?
Answers
Step-by-step explanation:
To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.
Answer:
Base = Amount, and solve for the unknown numbers.Step-by-step explanation:
Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.
Expressions equivalent to 8 to the negative 2 power times 3 to the negative 2 power
Answers
Answer:
0.0007361111111111111+0.001;
0.0027361111111111111-0.001;
1.0017361111111111111-1;
Step-by-step explanation:
you calculate 8^(-2)*3^(-2) that gives you 0.0017361111111111111 and then you add 1 anywhere you want and then say -1 where you put that +1 and that's all
help pls
solve the equation
4 to the power of 3x ÷ 2 to the power of 4x =32
Answers
Answer:
x = 5/2
Step-by-step explanation:
(4^3x)/(2^4x) = 32
(2^6x)/(2^4x) = 32
2^2x = 32
2^2x = 2^5
2x = 5
x = 5/2
The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?
- Students
- School counselors
- Homeroom teachers
What does this data set contain?
- 2 variables, 1 of which is quantitative
- 2 variables, 2 of which are quantitative
- 5 variables, 1 of which is quantitative
- 5 variables, 3 of which are quantitative
Answers
Answer:
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
Step-by-step explanation:
Individuals are the people or things described by a data set.
Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables.
The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counselors.
One of the variables--absences--is quantitative.
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
What is a dataset?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data.
Individuals are the people or things described by a data set.Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables. The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counsellors. One of the variables--absences--is quantitative.
Therefore the individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
To know more about datasets follow
https://brainly.com/question/251701
#SPJ2
GEOMETRY MULTIPLE CHOICE
Answers
Answer:
E seems to be the only one that is true
Step-by-step explanation:
its just asking you basically which ones are true based on the info they already give you
What is the sum of 6/7 and 1/2?
Answers
Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
The sum of the fraction 6/7 and 1/2 is 19/14
How to add fractionsGiven:
sum of 6/7 and 1/2
Sum means addition(+)
= 6/7 + 1/2
The least common denominator is 7 × 2 = 14
= 6/7 + 1/2
= (12+7) / 14
= 19/14
Therefore, the sum of 6/7 and 1/2 is 19/14
Learn more about fraction:
https://brainly.com/question/11562149
Help...................
Answers
Step-by-step explanation:
the surface area of that object consists of
2 triangles (one left, one right)
1 rectangle at the top
1 rectangle at the bottom
1 rectangle in the back
so, we need to calculate the area of each of these 5 areas and sum them up. that's it.
the area of such a triangle is
6×8/2 = 24 m²
we have 2 such triangles, so in total they are 48 m².
the rectangle at the top
10×12 = 120 m²
the rectangle at the bottom
12×8 = 96 m²
the rectangle in the back
12×6 = 72 m²
so the total surface area is
48 + 120 + 96 + 72 = 336 m²
Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2
C.-5+ √33
———-
2
D. 5+ √17
———-
2
Answers
x^2 + 5x = -2
x^2 + 5x + 2 = 0
We need to use the quadratic formula.
In the formula, a = 1, b = 5 and c = 2.
See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.
hlep me pls daddddddddddddddddddddddddddddddddy
Answers
Answer:
The equation would be 2(n+3)-6. So A.
Step-by-step explanation:
It is asking you to subtract first and you cannot do that without parentheses.
Answer:
First ONE
Step-by-step explanation:
First you are adding 3
n+3
then you mulitply by 2
so, its 2(n+3), you have to put in bracket because you want to do addition first
then you subtract everything by 6
its 2(n+3)-6
Help me(((((((please
Answers
Answer:
I do not know English
Step-by-step explanation:
<3333
Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?
How many liters of 100% pure acid should be used to make the solution?
Answers
Answer:
Step-by-step explanation:
let X be the quantity of 100% acid
let Y be the quantity of 10% acid
X + Y = 90
Y = 90 - X
X(100) + Y(10) = 90(81)
X(100) + (90 - X)(10) = 90(81)
100X + 900 - 10X = 7290
90X = 6390
X = 71 L
Which equation best matches the graph shown below?
Answers
Answer:
B
Step-by-step explanation:
because it is actually move to right
Answer:
y= -3(x+1)(x+3)
Step-by-step explanation:
the lowest coordinate of it is -3 and the x-coordinates are 1 and 3
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP
Answers
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
An athlete runs 1, miles in 7 minutes. At this rate, how long does it take the athlete to run 1 mile?
174
o minute
0.6 minutes
O 74 minutes
O 9 minutes
Answers
Answer:
My closest calculation is 74 minutes
Step-by-step explanation:
08 : 59.52
min : sec
Speed
0.1112 miles per minute
=
6.67 miles per hour
A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO
Answers
20points
Which represents the restrictions on the radical inequality
Answers
Answer:
The answer is 2x>0 is the final answer. The last one.
Step-by-step explanation:
It is greater.
Compare the linear equation 2x-y=4 to the function graphed below.
Answers
Answer:
The answer is be the intercept
Obet has to wrap 25 gifts for the party. He has wrapped 10 gifts already. What percentage of the task has he done?
with solution please :D
Answers
Answer:
40% is the solution 10÷25=0.40 which is well 40%
A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)
Answers
Answer:
5/9
Step-by-step explanation:
How would you express sin(-a-b)
Answers
Answer:
-4-7
Step-by-step explanation:do 4 and 7
Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees
Answers
Answer:
x=85 degrees, y=45 degrees
Step-by-step explanation:
solve for x first:
because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.
x+95=180 so solving for x would result in x=85 degrees (180-95)
then to solve for y:
the total sum of the interior angles of a triangle is 180 degrees.
so if you know x and the given 50, then to solve for y:
50+85(angle x)+y=180
then solve for y to get 45 degrees (180-(50+85))
Help me solve this please
Answers
Step-by-step explanation:
8x + 4y <= 136
2x + y <= 34
trying (15, 9) :
2x + 7y <= 70
2×15 + 7×9 <= 70
30 + 63 <= 70
93 <= 70
that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.
trying (0, 10) :
2×0 + 7×10 <= 70
70 <= 70
that is true.
2×0 + 10 <= 34
10 <= 34
also true.
so, (0, 10) is the correct answer option.
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answers
Answer:
Length is 90yards and width is 60yards
Step-by-step explanation:
Perimeter= 2( length+width)
let the width be x
then the length will be 30 + x
300 = 2(30+x+x)
150 = 30 + 2x
120= 2x
x = 120/2
x = 60 yards
length= 30+x
= 30 + 60
= 90yards
Find m< FED Im
giving this question 20 points
Answers
Answer:
180° - (61° + 61°) = 58°
Step-by-step explanation:
we can see that two sides of the angle are equilateral making it equiangular therefore the other angle is 61° and solve for <FED
Beatrice has two coins. The first coin is fair and the second coin is biased. The biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice selects one of the two coins at random and flips the selected coin 4 times. The result is HHTH. What is the probability that the fair coin was selected?
Answers
A triangle has two interior angles with the measurement of 68° and 54°. What's the measurement of the third interior angle?
Answers
Answer
58°Step-by-step explanation:
A triangle has two interior angles with the measurement of 68° and 54°. What's the measurement of the third interior angle?
The sum of interior angles of a triangle is 180°
so
180 - 68 - 54 =
58
determine the intercepts of the line
Answers
Answer:
y- (0,2.5) x-(3.5,0)
Step-by-step explanation:
This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?
Answers
Answer:
Mr. jones
Step-by-step explanation:
6/7 is 85.71% which is greater than 83%.
Marcie bought a 50-foot roll of packing tape. She used 8 5/6 foot lengtss. How much tape is left on the roll?
Answers
Answer:
22.40 feeds
Step-by-step explanation:
multiply it
For f(x) = 2(6)*, find y when x=2.
f(2)=
Answers
Answer:
I believe it is f(2) = 12
Step-by-step explanation:
I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.