Answer:
These two things should help you with your question.
Step-by-step explanation:
How To Find The nth Term Of A Geometric Sequence
Written by Hazmo in Geometric Sequence
The nth term is one of the most important element of geometric sequence.
It’s usually used to find out specific values within the geometric sequences.
We calculate the nth term by first finding the common ratio ‘r’ by dividing any two consecutive terms of the sequence.
And then we substitute ‘a‘ with the first term of the sequence and ‘n’ with the term number to get the final answer of the nth term.
The general formula to find the nth term is:
an=a1r(n–1)
Understanding the nth term of a geometric sequence gets easier if we know the meaning of this term and variables used.
Therefore, let’s first find what the nth term is and then move on to the details of it’s evaluation with different examples.
The rule that is generated is 3, 9, 27, ........ an.
What is geometric progression ?"Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern."
Given,
a3 = 27
and r = 3
Formula for nth term is given by
[tex]a_{n} = a_{1}r^{n-1}[/tex]
so, we have
[tex]27 = a1.3^2[/tex]
so a1 = 3
Hence, the series becomes 3, 9, 27, ........an
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The first five terms of a pattern are given below.
12,20,28,36,44 .....
Which expressions can be used to determine the Nth term of the pattern?
A. 10-7n
B. 20-8n
C. 5+7n
D. 4+8n
Which equation is a true proportion?
A. 3/2 = 2/3
B. 4/6 = 8/24
C. 7/14 = 21/28
D. 9/20 = 45/100
Answer:
D. 9/20 = 45/100
Step-by-step explanation:
9x5=45
20x5=100
Answer:
D
Step-by-step explanation:
If you times 9 and 20 by 5, 9 will equal 45 and 20 will equal 100
If f(1)=6 and f(n)=-5f(n-1)-4 then find the value of f(5)
Answer:
3126
Step-by-step explanation: f(1)=6 and f(n)=5f(n-1)-4. This means that next number is 5 times previous number minus 4.
f(2)=5f(1)-4 =5x6-4 = 30-4 = 26
f(3)=5f(2)-4 =5x26-4 = 130-4 = 126
f(4)=5f(3)-4 =5x126-4 = 630-4 = 626
f(5)=5f(4)-4 =5x626-4 = 3130-4 = 3126
The fifth term of the sequence is 4166
Given the recursive function expressed as;
f(n)=-5f(n-1)-4
If f(1 ) = 6
f(2) = -5f(1) - 4
f(2) = -5(6) - 4
f(2) = -30 - 4
f(2) = -34
If n = 3
f(3) = -5f(2) - 4
f(3) = -5(-34) - 4
f(3) = 170 - 4
f(3) = 166
If n = 4
f(4) = -5f(3) - 4
f(4) = -5(166) - 4
f(4) = -830 - 4
f(4) = -834
If n = 5
f(5) = -5f(4) - 4
f(5) = -5(-834) - 4
f(5) = 4170 - 4
f(5) = 4166
Hence the fifth term of the sequence is 4166
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UZ:34745
If the height of the parallelogram shown is decreased by 1 inch and the base is decreased by 2 inches, what is the area of the
new parallelogram?
10 ini
8 in.
14 in.
78 in 2
84 in 2
104 in 2
108 in 2
Mark this and return
Save and Exit
Next
Submit
Answer:
The anwser is C
Step-by-step explanation:
Answer:
c:104 in
Step-by-step explanation:
What is the median of the number in the dataset [29,3,50,9]?
Answer:
19
Step-by-step explanation:
If you order the Numbers from Least to Greatest
3,9,29,50
9 and 29 are in the middle
(29 +9) Divided by 2 is 19 so your median is 19
Answer: 19
Step-by-step explanation:
The first thing you have to do is order the numbers from least to greatest: 3, 9, 29, 50.
Next you have to find out which number is in the middle, but since there are an even set of numbers there will be 2 numbers in the middle. The 2 numbers in the middle would be 9 and 29.
The next step is to find the mean, or average of 9 and 29. To find the mean of something you have add all the numbers together and divide the sum by the amount of number there are. So we would have to add 9+29 which is 38, then we have to divide 38 by 2 since there are 2 numbers. 38 divided by 2 is 19.
So that means the median is 19.
Use the distributive property to write an expression that is equivalent to 12 + 4x. Remember to think of your multiples of 4 to solve this problem. If you need help, go to slide 9 on Wednesday's instruction. *
Answer:
4(3 + x)
Step-by-step explanation:
a serving of cheese weight about 3.5 ounces how many whole servings of cheese are there in a 40-pound wheel of cheese how much is left over
Answer:whst
Step-by-step explanation:
help please desperate!!
Answer:
Step-by-step explanation:
[tex]V=\pi r^2h\\=\pi *4^2*3\\=48\pi[/tex]
1. Expand to write an equivalent expression: - 1/2 (-2x+4y)
2. Factor to write an equivalent expression: 26a−10
Answer:
[tex]1)x - 2y[/tex]
[tex]2)2(13a - 5)[/tex]
Step-by-step explanation:
[tex]1) - \frac{1}{2} ( - 2x + 4y) \\ \frac{2x}{2} - \frac{4y}{2} \\ = x - 2y[/tex]
[tex]2)26a - 10 \\ = 2(13a - 5)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please Help, Ill mark u brianlest or however you spell it
polynomials picture question below vvvv
Step-by-step explanation:
The area of the larger rectangle is 10x (2x + 6) and the area of the swimming pool is 8(6x - 4). To find the area of the walkway we get:
10x(2x + 6) - 8(6x - 4)
= 20x² + 60x - 48x + 32
= 20x² + 12x + 32
Hope this helps!
Answer:(6x-4)=2 than multiply 8x10=80 then you add or multiply 2 and 80 together.
Step-by-step explanation:
-3 = За +6
Solve 2-step equations
Answer:
a=-3
Step-by-step explanation:
-3a=6+3
-3a=9
a=-3
Collins Middle School has 252 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?
A.
88
B.
720
C.
217
D.
287
Answer:620
Step-by-step explanation: lets say the total of school is X so:
X.35÷100=217
when we calculate this the answer will be 620
Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth
Answer:
Step-by-step explanation:
m∠P + m∠Q + m∠R = 180 degree
-> m∠R = 180 - ∠P - ∠Q = 180 - 99 - 31 = 50
[tex]\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}[/tex]
PQ = [tex]\frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}[/tex]=8.53
PR = [tex]\frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}[/tex]=5.74
13,26,52, 104...
Arithmetic or geometric
Answer:
Arithmetic
Step-by-step explanation:
The final consumer of the product pays GST. Consider the following:
A fabric merchant sells fabric at $66 (including the
10% GST) to a dressmaker. The merchant makes $60
on the sale and passes the $6 GST onto the Australian
Tax Office (ATO)
A dressmaker uses the fabric and sells the product
onto a retail store for $143 (this includes the $13
GST). As the dressmaker has already paid $6 in GST
when they bought the fabric they have a GST tax credit
of $6 and they pass on the $7 to the ATO.
The retailer sells the dress for $220, including $20
GST. As the retailer has already paid $13 in GST to the
dressmaker, they are required to forward the extra $7 to the ATO.
The consumer who buys the dress bears the $20 GST included in the price.
16 Copy and complete the following.
Raw material S1 10 (includes the 10% GST)
GST on sale
GST credit $0
Net GST to pay
Production stage $440 (includes the 10% GST)
GST on sale
GST credit =
Net GST to pay =
Distribution stage $572 (includes the 10% GST)
GST on sale =
GST credit =
Net GST to pay
Retail stage $943.80 (includes the 10% GST)
GST on sale =
GST credit =
Net GST to pay =
GST paid by the final consumer =
Answer:
????????????????????????????????????
Answer:
pay the man g
Step-by-step explanation:
because i got bug brain
Pls Help Evaluate: (2 · 3)3 + (2 + 3)2 + 24
A) 257
B) 242
C) 234
D) 39
Answer:D
Step-by-step explanation:
Eight oranges and four apples costs $176. Three oranges and fifteen apples cost $335. How much would two oranges and five apples cost?
$204
$124
$116
$76
$136
Answer: $124
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
8 x + 4 y = 176
3x + 15 y = 335
Cost = sum of products (number of fruits x price per unit)
Where x is the price per orange and y is the price per apple.
We have to multiply the first equation by 3 ; the second equation by 8; and subtract the first equation to the second:
24x +120y =2680
24 x +12y = 528
_______________
108y =2152
Solving for y
y = 2152/108
y= 20
Replacing y =20 in any equation:
8x + 4 (20)=176
8x+80=176
8x =176-80
8x =96
x =96/8
x=12
Finally we have to calculate how much would two oranges and five apples cost.
2x+5y = 2(12)+5(20)= 24+100= $124
Help looks like i forgot to read a ruler
Answer: 3 3/4
Step-by-step explanation:
Helpp!plz due today.not difficult but I hate math so yeah
number 1 is D
Step-by-step explanation:
dont have time to do the rest
Your family buys a super-size pizza, Mom and dad eat 1/5 Friday night. You eat an additional 1/2 Saturday morning. How much is left? If the pizza was cut into 10 slices, how many slices are left?
Answer:
3 slices
Step-by-step explanation:
There is a pizza with ten slices. 1/5 of ten is 2 slices. 1/2 of ten is 5 slices. 2 +5 = 7. 10 - 7 = 3 slices. Three slices have not been eaten.
What is the decimal equivalent to 34 % ?
Answer:
.34
Step-by-step explanation:
34% = 34/100 = .34
All percents are out of 100
Please solve anyone you can
Answer:
See below.
Step-by-step explanation:
I can't do all these for you but I'll show you how they are done by taking some samples.
k) 2^x = 32
Take logs of both sides
log 2^x = log 32
x log 2 = log 32
x = log 32 / log 2 Using your calculator to find the log values:
x = 5.
r) 9^(x + 1) = 81
log 9^(x + 1) = log 81
x + 1 log 9 = log 81
x + 1 = log81 / log9 = 2
x + 1 = 2
x = 1.
The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:
For example :
3^x = 27
We know that 3^3 is 27 so
3^x = 3^3 and so:
x = 3.
A rectangular field has a length of 0.26 miles and a width of 0.48 miles find the area of the field
Answer:
0.1248
Step-by-step explanation:
To find area you multiply length and width.
Calculate a²² for the product of the following matrices.
1 2 6 1 5
4 3 7 3 4
Answers:
9
13
16
Answer:
13
Step-by-step explanation:
i may be wrong im not 100% sure
The answer is 13.
What's made of 2 matrices?
The manufactured from two matrices may be computed by multiplying factors of the first row of the first matrix with the primary column of the second matrix and then, adding all of them made from elements. continue this system till each row of the primary matrix is accelerated with every column of the second matrix.
What are the means of the product matrix?Big manufacturers and agencies with lots of products can locate it challenging to control their product line for optimum marketplace insurance. A product matrix is a device that can assist companies to visualize their product line and even discover possibilities to expand new products.
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No association means the y-values increase as the x-values decrease. *
A.True
B.False
Answer:
A.
Step-by-step explanation:
I TOOK THIS CLASS LAST YEAR.
PLZ, I NEED URGENT HELP WITH PROBLEMS 1-5! I DONT UNDERSTAND
Answer:
1 is 3, 2 is 9, 3 is 6, 4 is (guessing for 4) 6 or 3 depending on what it's asking look at explanation. I hope this helps!!
Step-by-step explanation:
1: shortest name 3 is the smallest number
2: longest name is 9 letters nothing beats it
3: the graph shows those little like dot x things repersent the people with that length of name so 6 as the most therefore answer is 6
4: im guessing they mean which one is the middle of the graph so if it's middle depending on length of name it's 6, but if it's asking depending on number of people who have the name it's 3.
plz help me I need help with this question will give brainliest if answered correctly!!!!
Answer:
C
Step-by-step explanation:
the first group has more than the 2nd
Answer:
the answer is c.
hope this helps!
The probability that your ticket will be chosen in a drawing is 3/50. There are a total of 250 tickets in the drawing. How many tickets are yours?
Work please!
Answer:
15
Step-by-step explanation:
Since 50 x 5 is 250
Do the same for the numerator 3.
Answer:
15 :) its right trust me
Step-by-step explanation:
A triangular prism is shown below.
What is the surface area of the triangular prism?
Solution:
Answer:
its C 184
Step-by-step explanation:
Help plzz!! Will mark you as brainliest!!! The entrance to the Louvre Museum in Paris is a square-based pyramid. The volume of the pyramid is 9,039 with a height of 21.6 meters. What is the length of each side of the square base, to the nearest meter?
A. 29
B. 35
C. 627
D. 1,253
Answer: B
Step-by-step explanation: I worked it out but have doubts
The length of each side of the square base is 35 meters, option B is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of the pyramid is 9,039
The height is of 21.6 meters.
We need to find the length of each side of the square base.
V=1/3b²h
9039=1/3×b²×21.6
9039=7.2b²
Divide both sides by 7.2
b²=1255.4
Take square root on both sides
b=35.4
b=35
Hence, the length of each side of the square base is 35 meters, option B is correct.
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