What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?
Answers
[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]
The recursive formula is aₙ = 2(6)ⁿ⁻¹.
What is recursive formula?A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.
Given: 2, 12, 72, 432,..
r= 12/2= 6
a= 2
The recursive formula for the nth term,
aₙ = a₁ rⁿ⁻¹
aₙ = 2(6)ⁿ⁻¹
Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹
Learn more about this concept here:
https://brainly.com/question/11813228
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Related Questions
There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b
Answers
Answer:
B. 58 - b
Step-by-step explanation:
58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.
Solve the system using any method: y = 3x + 4 6x2y=8
Answers
Answer:
y=24,x=20/3
[tex]y = 3x + 4[/tex]
[tex]8 = 6 \times 2y[/tex]
[tex] 2y = 8 \times 6 [/tex]
[tex]y = 24[/tex]
[tex]24 = 3x + 4[/tex]
[tex] - 3x = 4 - 24[/tex]
[tex] x = \frac{20}{3} [/tex]
Find the missing side of right triangle, where c= 13 in and a= 5 in
Answers
Answer:
b = 12
Step-by-step explanation:
a^2 + b^2 = c^2
25 + b^2 = 169
b^2 = 144
b = 12
5² + b² = 13²
25 + b² = 169
b² = 169-25
b² = 144
b = √144
b = 12
272 sweets are divided between Ram and Rahim in the ratio of 7 : 9. How many sweets do they get?
Answers
Answer:
let the ratio of ram and hari be 7x and 9x respectively
7x +9x=272
or, 16x=272
or,x=272÷16
or,x=17
ratio of ram=7x=7 × 17=119
ratio pf rahim=9x=9×17=153
The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?
Answers
Answer:
112 adult and 288 children
Step-by-step explanation:
x= adult seats
y= children seats
15x + 10y = 4560
x + y = 400 --> y=400-x
so plug 400-x for y in the other equation
15x + 10(400-x)= 4560
now solve this equation
15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112
now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288
PLEASE HELP ITS DUE IN AN HOUR!!!!!!
Answers
Answer:
3 units to the right of -5
Step-by-step explanation:
Help me please!!!! I’ll give you brainliest!! :)
Answers
Answer:
399
Step-by-step explanation:
28.5 × 3.5 × 4
What expression is equivalent to 4y?
Answers
Answer:
4xy=x or ?
Step-by-step explanation:
Help Me Please.............................(7)
Answers
Answer:
Step-by-step explanation:
The first step contains the error.
2x - 10 = 22 Add 10 to both sides
+ 10 +10
2x = 32 Divide by 10
2x/2 = 32/2
x = 16
The base of the pyramid is a right triangle
The volume is ____ cubic cm.
Answers
Answer:
37 cubic cm should be the answer sorry if I am wrong
Write a ratio for the perimeter to the Area
Length=3 cm
Height= 10 cm
Answers
Answer:
3:10
Step-by-step explanation:
Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.
Answers
Answer:
Since they have the same slope, they are parallel.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope. If two lines are parallel, they have the same slope.
4x−3y=6
Placing into the above format:
[tex]3y = 4x - 6[/tex]
[tex]y = \frac{4x - 6}{3}[/tex]
[tex]y = \frac{4x}{3} - 2[/tex]
The slope [tex]m = \frac{4}{3}[/tex]
y=4/3x−1
The slope is [tex]m = \frac{4}{3}[/tex]
Since they have the same slope, they are parallel.
I am having a baby day so if you write something wrong I’m reporting you
Answers
Answer:
804.25 or based on the choices 803.8
Step-by-step explanation:
Answer:
804.25
Step-by-step explanation:
so the closest thing to that is 803.8
8. Find F-1 for the function f(x) = (x + 1)3 + 4.
A.f-'(x) =V7-4+1
B. f(x)=x+4+1
C.f(x) = x+4-1
D. g(x)=√x-4-1
Answers
Answer:
Answer is B
Step-by-step explanation:
The two lines graphed on the coordinate grid each represent an equation. (-2, 6) (3,5) (-6, 2) (-6, -6) Which ordered pair represents a solution to both equations?
Answers
Answer:
(-3,3)
Step-by-step explanation:
because it's where the graphs intersect, meaning the point is contained in both solutions
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answers
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
The product of the third and the sixth terms of an arithmetic sequence is 406. The
ninth term of the sequence divided by the fourth term gives a quotient of 2 and a
remainder of 6. Find the first term and the common difference of the arithmetic
sequence
Answers
Answer:
The product of the third by the sixth term of an arithmetic progression is 406. The division of the ninth term of the progression by the fourth term gives a quotient 2 and a remainder 6. Find the first term and the difference of the progression.
3
What is the median number of volunteer service hours? *
(5 Points)
Volunteer Service Hours
.
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
13
20
23
27
Answers
Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.
Answers
Answer:
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
So
[tex]y = -\frac{1}{2}x + b[/tex]
Passing through the point (-4,5)
This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.
[tex]y = -\frac{1}{2}x + b[/tex]
[tex]5 = -\frac{1}{2}(-4) + b[/tex]
[tex]2 + b = 5[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
{(-3,2),(0,4),(2,0)}*{(-2,2),(1,2),(2,-5),(5,0)}
Answers
Answer:
Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION
Any help would be appreciated. Thank you
Answers
=14-9 x (-2)
=14- (-18)
=32
Need help on this question
Answers
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Find the volume of the solid
Answers
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answers
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.
Answers
Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
What is 1,650,000,000 in scientific notation?
Answers
Answer:
[tex]1.65*10^{2}[/tex]
Step-by-step explanation:
evaluuate 9-b when b=8
Answers
Answer:
[tex]\huge\boxed{\sf 1}[/tex]
Step-by-step explanation:
Given the expression:
= 9 - b
Given that b = 8
= 9 - 8
= 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Okay so we are asked to solve 9 - b, and we are told that b=8
Therefore this is just a matter of substitution:
9 - b
Substitute 8 for b:
9 - 8
Now just finish solving:
1
Therefore, the answer is 1
Hope this helped :)
13. Find the measure of arc JK.
J
I
K
70°
L
Answers
180-70=110
A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.
State Num Sales
1 630 15.5
2 370 7.5
3 616 13.9
4 700 18.7
5 430 8.2
6 558 13.2
7 1200 23.0
8 2976 87.3
1. What is the equation of the regression line?
2. Interpret the slope in the context of the problem.
3. Find the coefficient of determination.
4. Interpret the meaning of R2 in the context of the problem.
5. State the hypotheses to test for the significance of the regression equation.
6. Is there a significant relationship between dependent and independent variables at alpha=0.05? Why?
7. Use a 95% prediction interval to predict the sales for a state with 100 shopping centers
Paste the table with the results of regression analysis.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Num shopping centers (X) :
630
370
616
700
430
558
1200
2976
Sales (Y) :
15.5
7.5
13.9
18.7
8.2
13.2
23.0
87.3
The regression equation obtained using the online regression calculator is :
y = 0.03025X - 4.87014
2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025
3.)
The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823
4.)
About 98% of variation in number of sales is explained by the regression line
5.)
Correlation Coefficient = 0.9911
H0 : p ≥ 0.99
H1 : p < 0.99
Help me answer the question
Answers
Answer:
cubic
Step-by-step explanation:
you can eliminate all of the other ones
Answer:
cubic
Step-by-step explanation:
quadratic = makes a parabola - U shaped
linear = makes a straight line
cubic = makes a shape just like the one in the picture
square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side