Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answers
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Related Questions
The senior classes at Portland High School and Biddeford High School planned separate
trips to New York City. The senior class at Portland High School rented and filled 1 van
and 6 buses with 372 students. Biddeford High School rented and filled 4 vans and 12
buses with 780 students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry?
Answers
McKenna was asked to write the following expression in standard form.
3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.
3−5(3a+6)
3+(−5)(3a+6) Step 1
−2(3a+6) Step 2
−6a+(−12) Step 3
−6a−12 Step 4
a. McKenna made her first mistake in ____________
Question 2
b. The correct expression in standard form is ______
basically pls fill in the blanks :]
Answers
Answer: -15a - 27
Step-by-step explanation:
McKenna made her first mistake in Step 2. You would need to multiply -5 by 3a and 6, not add it to 3 first.
The correct steps would be:
3−5(3a+6)
3+(−5)(3a+6) Step 1
3 - 15a - 30 Step 2
-15a - 27 Step 3
The faces of a fair 6-sided cube are numbered 1 through 6.
What is the probability that a 2, 3, or 5 will land face-up on
the next roll?
Answers
Answer:
1/2
Step-by-step explanation:
2,3,5 are three out of a total of six options
3/6 = 1/2
(07.07) H U R R Y, please ;) 15 points!
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p
Answers
im not sure i think its 14.2
What is the constant of proportionality for this problem?
Answers
Answer:
$ 825
Step-by-step explanation:
10 yard = $150
55yard = ?
55yard* $150 /10yard
55*15 =825 then the correct answer of
$55 yard is 825
How does the graph of f(x)=|x| compare with the graph of g(x) = 1/2|x| select all that apply
Answers
Answer:
I don't see the choices but both graphs are absolute value graphs. I think g(x) = 1/2|x| is the shrink of f(x)=|x|
explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP
Answers
hope this helps :)
the names of 11 boys and 6 girls from your class are put into a hat. what is the probability that the first two names chosen will be a boy followed by a girl( dependent probability
Answers
Answer:
25%
is that what you were looking for?
can you help me i will mark if i can
Answers
Answer:
i think it is d
Step-by-step explanation:
0.7 as 1 minute
And is it okey if you could tell me how you did it?
Answers
Answer:
Hello There!!
Step-by-step explanation:
You multiply 0.7 by 60 which is 42 seconds.
hope this helps,have a great day!!
~Pinky~
Explain why dividing each side of \small 3x^2=6x by \small 3x is not a reliable way to solve the equation.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]3x^2 = 6x[/tex]
Required
Why dividing by [tex]3x[/tex] is not reliable
The reason is that, the given expression is a quadratic equation and as such, it will most likely have two solutions.
So, when the expression is divided by [tex]3x[/tex], the solution will be [tex]x = 2[/tex], leaving out the other possible solution.
The right way is:
[tex]3x^2 = 6x[/tex]
Subtract 6x from both sides
[tex]3x^2 - 6x = 6x - 6x[/tex]
[tex]3x^2 - 6x = 0[/tex]
Factorize
[tex]3x(x - 2) = 0[/tex]
Split
[tex]3x = 0\ or\ x - 2 = 0[/tex]
Solve for x in both cases:
[tex]x = 0\ or\ x = 2[/tex]
A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach
Answers
The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.
Let’s say you did not know that this was a standard 8–15–17 right triangle.
This is how you can figure it out:
hypotenuse(h)2
2
= side21
1
2
+ side22
2
2
Let side1
1
= base and side2
2
= wall
172
2
= 82
2
+ wall2
2
wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2
wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64
wall = 225‾‾‾‾√
225
wall = 15 feet
>>>>>>>>>>15 feet
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
Answer
YES
Step by step Explanation
Answer:
There is not information given to assume the triangles are congruent.
Step-by-step explanation:
You can tell if two triangles are congruent by any of the following rules:
Three sides are congruent (SSS),
Two angles and a side in between are congruent (ASA)
Two sides and an angle in between are congruent (SAS)
Two angles and a side connected to one of those angles are congruent (AAS)
Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)
In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.
The quadratic function is given in both its standard and factored form below
Answers
x²+2x-15=(x+5)(x-3) there is nothing to factoriz
HELP ILL GIVE BRAINLIEST
Select all equivalent
equations for the translation of "four times the sum of
a variable and nine equals eighteen".
4+ (x + 9) = 18
4(x)(9) = 18
4(x + 9) = 18
4x + 4(9) = 18
4x + 9 = 18
Answers
Answer:
No - 4+ (x + 9) = 18
No - 4(x)(9) = 18
Yes - 4(x + 9) = 18
Yes - 4x + 4(9) = 18
No - 4x + 9 = 18
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answers
Answer:
I can't see!
Step-by-step explanation:
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answers
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.
Answers
Answer:
2,5
Step-by-step explanation:
2 to the right and 5 up
the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?
Answers
Answer:
The multiplicity of the root is 1
Step-by-step explanation:
Firstly, we need to understand what multiplicity is
By multiplicity, we simply refer to the number of times we have the certain root repeating itself
From the factorization, each of the given roots were only repeated once
That indicates that the given multiplicity is 1
what is the x-intercept of the graph 4x-6y=12
Answers
giving 5 stars to right person
Answers
Answer:
12/40
Step-by-step explanation:
12/40=3/10
Please help? Is this correct i need tight now poease
Answers
Answer:
Yes
Step-by-step explanation:
Your answer is correct :) good job and keep it up!
The figure is made by two right rectangular prisms.
What is the volume of the figure?
Answers
Answer:
d
Step-by-step explanation:
step by step explanation:
Torrence wants to remodel apartment . The first thing he is Going to do is replace the floors in the living space and kitchen .
Answers
2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answers
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.
Answers
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54
Step-by-step explanation:
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]
Answer: n/3 - 3 = 13
so its 48 your welcome
Step-by-step explanation:
Work out the area of this circle.
Give your answer in terms of it and state its units.
14 cm
Answers
Answer:
area = 153.94
Step-by-step explanation:
Diameter = 14. Half of 14 is 7, so radius = 7.
Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation. Using
this equation, find the maximum height reached by the rocket, to the nearest
tenth of a foot.
y = -16x2 + 212x + 139
Answers
Answer:
y = 841.25 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows:
[tex]y = -16x^2 + 212x + 139[/tex] ....(1)
We need to find the maximum height reached by the rocket.
For maximum height, put dy/dx = 0
So,
[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]
Pu x = 6.625 in equation (1).
[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]
So, the maximum height reached by the rocket is equal to 841.25 feet.
Help please!! Will mark brainstest!!
Scatter Plot is in the picture.
It says write an equation for the trend line.
A) y=-12.5x+250
B) y=12.5x+250
C) y=6.25x+225
D) y=-6.25+225
Answers
Find the height of the pyramid.
Volume
Answers
Answer:
5
Step-by-step explanation:
like my answer please...