Formula for the term of a geometric sequences has been defined as,
"Each number is 4 less than 3 times the previous numbers"
Therefore, recursive formula will be,
[tex]T_n=3(T_{n-1})-4[/tex]
Now we will use this formula to build the sequence,
A). If [tex]T_1=10[/tex],
Then [tex]T_2=3(10)-4=26[/tex]
[tex]T_3=3(26)-4=74[/tex]
[tex]T_4=3(74)-4=218[/tex]
[tex]T_5=3(218)-4=650[/tex]
Therefore, the sequence will be,
[tex]10,26,74,218,650[/tex]
B). If [tex]T_1=1[/tex],
Then [tex]T_2=3(1)-4=-1[/tex]
[tex]T_3=3(-1)-4=-7[/tex]
[tex]T_4=3(-7)-4=-25[/tex]
[tex]T_5=3(-25)-4=-79[/tex]
Therefore, the sequence will be,
[tex]1,-1,-7,-25,-79[/tex]
C). If, [tex]T_1=5[/tex],
Then, [tex]T_2=3(5)-4=11[/tex]
[tex]T_3=3(11)-4=29[/tex]
[tex]T_4=3(29)-4=83[/tex]
[tex]T_5=3(83)-4=245[/tex]
Therefore, the sequence will be,
[tex]5,11,29,83,245[/tex]
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I need the answer ASAP
Answer: Pi,0.3,2/3,
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, the measure of ∠Q=6°, and PQ = 2.2 feet. Find the length of RP to the nearest tenth of a foot.
Answer:
0.23
Step-by-step explanation:
use sine rule
sinQ/q=sinR/r
If f(x) = 2x – 5 and g(x) = x +4, then f(g(2)) =
Answer:
7
Step-by-step explanation:
f(g(2))
f(x+4) and you would replace x with two, so you would get
f(2+4) = f(6)
You would then plug in 6 for the x in the f(x) equation:
2(6) - 5 = 12-5 = 7
What is the value of x in the equation 3(2x-1)=21 a.3 b.11/3 c.4 d.25/2
Answer:
well
Step-by-step explanation:
none of the answers make sense other than B
A health club charges $250 to become a member and an additional $25 per month. Assuming no other charges, what is the total cost of the first full membership
Answer:
$275
Step-by-step explanation:
I am 100% sure that $275 would be for the first cost of the month. if its monthly then you times that by 12 to get 3,300 which would be the cost for the year.
Lisa has 35 tickets for games
at a carnival. She used 1/5 of
her tickets to play a game.
How many tickets did she
use?
Answer:
7 tickets
Step-by-step explanation:
So there are 2 ways you can solve this problem:
Method 1:
I multiplied 35 by 1/5 (35/1 × 1/5) and got 7
Method 2:
I divided 35 by 5 (the denominator of the fraction) and got 7
I need help on this question
Answer:
D) 19
Step-by-step explanation:
biggest number minus smallest number
25-6=19
Which term is equivalent to this expression
Answer:
C
Step-by-step explanation:
Identify the range of the graphed function
Answer: The first Option.
Step-by-step explanation:
y is greater than -1 and y is less than or equal to 4.
The range of the function will be Range = {y | 0 < x ≤ 6}. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The domain means all the possible values of x and the range means all the possible values of y.
The domain of the function is (-1, 4] and the range of the function will be
Range = {y | 0 < x ≤ 6}
Then the correct option is C.
More about the function link is given below.
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not sure how to solve this
Answer:
5942
Step-by-step explanation:
you do 5.942 time 10 to the 3rd power and it equals 5942 cause 10 to the 3rd power is 1000 so 1000 time 5.942 equals 5942
What is a correct name for the angle shown?
Answer:
angle s is the correct name for the angle
12. How many planes are shown in the figure?
Your answer
Answer:
Six planes
Step-by-step explanation:
A plane is defined by the three different points on the same surface.
So the planes given in the picture are,
Plane A or plane MSR
Plane PWM
Plane QTS
Plane WTS
Plane QPN
Plane PQT
Therefore, six faces of the given polygon will define the six planes.
33
25
2 X 3 = 12
2^3y*3^2y=72^y
Answer:
14.4 is your answer
Step-by-step explanation:
PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST
Answer:
5
Step-by-step explanation:
We need to see how much it changes per week from week 0-10. Starting at 30 and growing to 80 we see a change of 50.
Ten weeks means 50/10, so 5.
edit: fixed unbolded headers
Find the number that makes the ratio equivalent to 5:4.
:48
Answer:
60
Step-by-step explanation:
5:4 = 60:48
Find the value of x.
230°
(x + 26)
(x - 48)
sketch the graph of y= 2 | x - 3 | + 7
Step-by-step explanation:
I suppose that your graph is supposed to be like this
Hope this is correct and helpful
HAVE A GOOD DAY!
Tyler claims that because he started painting first he will finish painting his side of the fence before Benito finishes painting his side. Is this true? Explain
Answer:
but
Step-by-step explanation:
yrge sksue dnd djd d d. r e g g h a s. v j u r d. d c g y t
Tyler's claim about finishing his painting first is False because it will take Benito 10 minutes while Tyler will require over 11 minutes to finish up his painting despite starting before Benito.
Size of fence = 150 feet
Benito's rate = 15 ft/min
Tyler's rate = 11 ft/ min
Size already painted by Tyler when Benito started = 39/2 = 19.5 ft
Portion of fence left for Tyler to paint when Benito started = (150 - 19.5) = 130.5 feets
Time required for Tyler to finish :
Time required = 130.5 ÷ 11 = 11.863 minutes
Time required for Benito to finish :
Time required = 150 ÷ 15 = 10 minutes
Time required for Benito to complete his painting is lesser than Tyler's (10 < 11.863)
Hence, Tyler's claim is False
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Granola
2 cups old fashioned oats 3 tablespoons honey
2/3 cup raw nuts 2 tablespoons sunflower oil
1/8 cup sunflower seeds 1/2 teaspoon vanilla
1/2 cup dried fruit chopped 1/8 teaspoon salt
Preheat oven to 300 F Combine and mis ingredients in a bowl
Spread on baking sheet Bake for lo minutes. Cool Store in closed
container in the refrigerator
Part A
What is the ratio of dried fruit to sunflower seeds in the granola recipe?
Answer:
1/8 : 1/2
Step-by-step explanation:
Is that the right answer? I’m not sure lol I don’t remember
1. Ellie has at most $25 to spend on miscellaneous items each week. She has already spent
$10.50. Write and solve an inequality to determine how much money Ellie can spend on
miscellaneous items for the rest of the week.
Answer:
y= $25-$10.50
Step-by-step explanation:
consider the points
Answer:
wym?but thanks
Step-by-step explanation:
ASAP NEEDED Which expression does the graphic represent? 8 positive tiles. 1 tile is crossed out. 7 minus 1 7 minus (negative 1) 8 minus 1 8 minus (negative 1)
Answer:
8-1
Step-by-step explanation:
I know things : )
using division to determine which of the following numbers are factors of 35
1
2
3
5
7
35
so which are factors and which are not
Answer:
Factors:
1, 5, 7, 35
Non-Factors:
2, 3
Step-by-step explanation:
About 9% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability that at least one is hopelessly romantic?
A) The probability that both will be hopelessly romantic is _________. (Round 4 decimal places as needed).
B) The probability that at least one person is hopelessly romantic is _______.
Answer:
A. 0.0081
B. 0.1638
Step-by-step explanation:
From the question, we are told that 9% of the population are hopelessly romantic.
The percentage that are not hopelessly romantic = 100-9 = 91%
The probability of choosing a hopelessly romantic person = 9% = 9/100 = 0.09
The probability of choosing a person who is not hopelessly romantic = 91% = 91/100 = 0.91
Now, we want to select two people and calculate the following probability;
1. Both will be hopelessly romantic
Let’s have the people as A and B
The probability that both will be hopelessly romantic will the the product of being hopelessly romantic probability = 0.09 * 0.09 = 0.0081
b. Probability that at least one person is hopelessly romantic
What this means is that the probability that one of the two ONLY is hopelessly romantic;
We can have two cases here;
Probability (That A is hopelessly while B is not )or Probability (A is not and B is hopeless )
Thus we have :
(0.09 * 0.91) + (0.91 * 0.09) = 0.0819 * 2 = 0.1638
Answer:
0.1719
Step-by-step explanation:
I just took the test and this was the correct answer. Sorry they did not offer an explanation and I still can not figure it out.
f(x)=2/3*3^(3x+12), what is the value of f(-1)
Answer: 13,122
Step-by-step explanation:
just number 1- please help! thank you!!
Answer:
80.4
Step-by-step explanation:
You have to first find the area of the circle which the formula for that is pi r^2. So you would set it up as 3.14 (2.5)^2 which you then would solve and get 19.625. Then, you find the area of the square which is length times width. So then you would multiply 10 and 10 and get 100. You then subtract 100 and 19.625 which gives you 80.375 but since it says round to the nearest tenth you'd get 80.4.
Step-by-step explanation:
For no.1
sloution,
for small
[tex]r = 2.5[/tex]
[tex]\pi = 3.14[/tex]
Area(A1)=?
now,
A = π r²
A=3.14*2.5^2
A=19.6
A1=19.6cm^2
For,big square
L=10cm
A2=?
now,
A=L^2
A=10^2
A=100
A2=100cm^2
For shaded area
A=A2-A1
A=100-19.6
A=80.4cm^2
Solve for x.
X+y=20
X=
Answer:
where is another equation may be it x-y=?
accoding to these question
x=20-y
Write a whole number that is greater than 10910099999
Answer:
109100999999
Step-by-step explanation:
floor gang aooh sub to pewdiepie
The length of a rectangle is four times its width. If the perimeter of the rectangle is 90 cm, find its area
Answer:
324
Step-by-step explanation:
L = 4W
P = 2L + 2W = 90
---
2L + 2W = 90
2(4W) + 2W = 90
8W + 2W = 90
10W = 90
---
W = 9
L = 36
---
A = 324
---
Answer:
The area of the rectangle is 324 square centimeter.
Step-by-step explanation:
What is area?
The area is the amount of space within the perimeter of a 2D shape.
What is rectangle?
A rectangle is a two-dimensional shape (2D shape) in which the opposite sides are parallel and equal to each other and all four angles are right angles.
What is perimeter?
Perimeter is the distance around the edge of a shape.
Let the width of the rectangle be x cm.
Then, the length of the rectangle = 4xcm
Perimeter = 2(length + breadth )
90 = 2(4x+x)
90 = 2*5x
90 = 10x
x = 90/10= 9cm
Width = 9cm
Length = 4*9 = 36 cm
Area = Length*Breadth
=9*36
=324 square centimeter.
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A square has a side length of 9 cm2 what is the area
Answer:
81
Step-by-step explanation:
The definition of a square is a four sided figure that has 2 sets of parallels lines, 4 congruent sides, and 4 right angles. From that you can tell that one side of the square gives the measurement of all sides of the square.
