Use the given information below to find the first 6 terms of a sequence. *
Captionless Image
1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...
Answers
Answer:
2. -1, -7, -19, -43, -91, -187,...
Step-by-step explanation:
[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]
Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...
Related Questions
Solve the system of equations by the substitution method.
x+y=4
y=-3x
Answers
Answer:
X= -2 Y=6
Step-by-step explanation:
Answer:
x= -2 y=6
Step-by-step explanation:
-2+6=4
6=-3 x -2
What is the mean of the data set below? Round to the nearest tenth when necessary. 10, 30, 53 *
Answers
help please! ill mark brainliest
Answers
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Find the volume of a pyramid with a square base, where the area of the base is
8.7 m and the height of the pyramid is 10 m. Round your answer to the nearest
tenth of a cubic meter.
Answers
Answer: 29.0
Step-by-step explanation:
The volume of a pyramid is equal to l*w*h/ 3 and we know that the length times the width is the same as the base.
so we will multiply 8.7 * 10= 87 /3= 29
Volume = 87 m³
You need to multiply the area and the height to find the volume. If you have the length, width, and height, then you need to multiply and 3 and divide it by 3. Hope I helped :)
Help!!! multiple choice!
Answers
6.A
Hope this helps and is correct
What is the Surface Area of the prism, in square centimeters?
Answers
Answer:
[tex]2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )[/tex]
[tex]= {184cm}^{2}[/tex]
On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?
Answers
Answer:
7183 cars
Step-by-step explanation:
On Friday, 2364 cars parked in the garage.
On Sunday, 2,455 more cars parked In the garage than on Friday.
This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:
2455 + 2364 = 4819 cars
Therefore, the number of cars parked in the garage in the two days is:
4819 + 2364 = 7183 cars
7183 cars were parked during the two days.
Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:
Answers
Answer:
x = 4
Step-by-step explanation:
Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.
x = 4 is your only answer choice that is less than 11, therefore is your only answer.
~
Answer:
none of the above, you need a lesser number
determine whether the function represented by the equation is quadratic
Answers
Answer:
not quadratic because there is not a quadrat in it.
Step-by-step explanation:
The graph of a quadratic funtion is a parabola.
The general form of quadratic function is this:
f(x) = ax² + bx + c
Where a, b, and c are numbers.
Please uderstand that a can not be zero, which means that any quadratic function has at least one term with ² in it.
In this example, there is no quadrat visible, so it is not quadratic. By the way, y = -9x + 19 is a so called linear equation. It's graph is a line.
Find the area of the parallelogram
Answers
Answer:
120 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 15*8
A =120
Order each set of numbers from LEAST to GREATEST.
-4 , -5/4 , 0 , -5, -1.5
Answers
Answer:
-5, -4, -1.5, (-5/4) -1.25, 0
Step-by-step explanation:
The higher the negative the lower the number (least).
~Anna
Need help? Contact me for tutoring!
In the given figure, arcWY = 76° and arcXZ = 112°. What is the difference of the measures of angle WPY and angle XPY?
A. 8°
B. 9°
C. 16°
D. 18°
Answers
Answer:
C
Step-by-step explanation:
Answer:
A. 8
Step-by-step explanation:
#platolivesmatter
What is the way to best choose the answers
Answers
Is Y=5x+2 in slope intercept form?
Answers
Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.
Step-by-step explanation:
-The equation of a slope-intercept form:
[tex]y = mx + b[/tex] (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).
A square unit that is 1 unit wide and 1 unit long is a?
Answers
Answer:
A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.
help meh
A timer rings every half hour for 3 1/2 hours.
Use your model to determine the number of rings.
dont make me feel like that was a waste
Answers
Answer:
7 times
Step-by-step explanation:
So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)
So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings
Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7
hope i helped :) im not sure what you mean by model :(
Lila has gained a lot of weight recently she works out and watches her intake but she's still gaining weight when she visited the doctor she told her that she had a problem with one of her endocrine glands which gland would most likely have a tissue with maintaining the breakdown of foods
Answers
Answer:
The Pancreatic gland is the gland responsible for maintaining the breakdown of foods in the body.
Step-by-step explanation:
The pancreatic gland can function as an endocrine gland, which is responsible for the secretion of glucagon and insulin. These two enzymes are responsible for the maintaining of the glucose levels of the body.
The insulin in Lila's body is meant to reduce her blood sugar, by helping the cells to be able to absorb the glucose, and use it as energy to drive her exercise and her daily routines. However, if there is a problem with the pancreas, the glucose will just be in the blood stream, without getting to the cells and Lila will keep on feeling hungry all the time. This is probably why she will keep on gaining weight.
Answer:
A. The thyroid
Step-by-step explanation:
Searched it up...
Which expression represents finding the volume of the entire solid? Be careful
Answers
Answer:
Option 6
Step-by-step explanation:
To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.
Find the area of the shape shown below
Answers
So just plug in your numbers.
I NEED HELP WITH THIS
Answers
Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6
A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.
Which equation substitutes the given values into the formula for the corresponding variables
Answers
Answer:
The formula is 86=1/3B (6)
The base area is 43.00 square feet
Step-by-step explanation:
V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation
Solving equation
86=(1/3) B(6)
Divide 6 by 1/3
(3/1) 1/3 = 6 (3/1)
86 = 2pi *
43.00 square feet
Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;
Answer:
both of the answers are C
Step-by-step explanation:
you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?
Answers
Answer:
Your profit would be 32.10$
Step-by-step explanation:
You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.
WILL GIVE BRAINLIEST PLEASE HELP!
Answers
Answer:
A. is 5. B. is 1.C. is 4.D. is 2.E. is 3.F. is 6.Step-by-step explanation:
Slope is rise over run.
For example, 2 is equivalent to 2/2 so you find the graph that has a point at (2, 2).
Hope this helps :D
these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections
Answers
Answer:
75 coloured pencils
Step-by-step explanation:
Let's say Jordon has x total pencils.
We know that 20% of these x pencils is 15, so we have:
20% * x = 15
Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:
0.20x = 15
x = 15 / 0.20 = 75
Jordon has 75 coloured pencils.
Answer:
75 pencils
Step-by-step explanation:
Let the total no. of pencils be T
20% of T = 15
20/100 × T = 15
T = 15 × 100/20
T = 15 × 5
T = 75
21 radical sign p^-4/p^3
Answers
Answer: [tex]p^-^\frac{1}{3}[/tex]
[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]
[tex]\sqrt[21]{p^-^4^-^3}[/tex]
[tex]\sqrt[21]{p^-^7}[/tex]
[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]
[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]
[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]
1: which equation represents a linear function? a y= 4 x +1 b y=x2+2 c y=3 √ x+1 d y=- 2 3 x- 1 2
Answers
Answer: A
Step-by-step explanation:
a.) [tex]y=4x+1[/tex]
b.)[tex]y=x^2+2[/tex]
c.)[tex]y=3\sqrt{x+1}[/tex]
d.)[tex]y=-2(3x-1)^2[/tex]
choices b and d are quadratic
choice c is a square root function
so the answer is a
let me know if i types the answers incorrectly
How can you determine if a point is a solution to a system of linear equations?
Please Help!
Answers
Answer:
You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.
Step-by-step explanation:
Point P has a coordinates: ( Px , Py ).
You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.
If you want to verify if any point is valid in any (linear) equation(s), you can:
a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
Answer:
You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.
Step-by-step explanation:
Write an equation for the line in slope-intercept form.
Answers
y = 1/2 x -3
Explanation: the y-intercept is where it crosses the y axis so the y-intercept is -3
concrete is poured to create a slab in the shape of a rectangular prisim the slab is 50 yards long 1.5 yards wide and 0.25 yard stick how many cubic squares of concrete are needed to create slab
Answers
Answer:
18.75 cubic yards
Step-by-step explanation:
Multiply the length width and height by each other.
50 x 1.5 x 0.25 = 18.75
Answer:
18.75 yards³
Step-by-step explanation:
To solve this, we can solve for the volume of the rectangular prism by using the formula: [tex]V= l*w*h[/tex]
We can plug in the values, giving us:
V= 50×1.5×0.25= 18.75 yards³
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answers
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
Learn more about graphs here
https://brainly.com/question/26657817
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