Answers
Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, [tex]\frac{16}{5}[/tex]..........
Ratio of 2nd and 1st term of the sequence = [tex]\frac{4}{5}[/tex]
Ratio of 3rd and 2nd term of the sequence = [tex]\frac{\frac{16}{5} }{4}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = [tex]\frac{4}{5}[/tex]
First term of the sequence 'a' = 5
nth term of a geometric sequence = [tex]a(r)^n[/tex]
Therefore, nth term of the given term will be [tex]T_n=5(\frac{4}{5})^n[/tex]
Now we have to find the 10 term of the given sequence.
For n = 10,
[tex]T_{10}=5(\frac{4}{5})^{10}[/tex]
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
Related Questions
i need le help...if u have 25 pieces of gum and you got 7 more pieces then subtracted 3 and added 16 what would it equal Im to tired and my brain hurts from the test to figure it out
Answers
Answer:
45
Step-by-step explanation:
25 plus 7 is 32
32 minus 3 is 29
29 plus 16 is 45
hmmm well that's a lil too hard for my smol brain to process but hmmm well when I think about it, it really gets my brain thinking and ummm well you see it's uh hmm you add the yeah to that and hmmmm well ahhh that looks to be about right uuuuuuuuuh
45....
.....or is it?
hmmmmmmmmmmmmmmm
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answers
Step-by-step explanation:
Let's assume x = apple juice, y = orange juice, and z = cranberry juice
[tex]1 = x + y + z \\ 1 = \frac{3}{4} + \frac{1}{10} + z \\ z = 1 - \frac{3}{4} - \frac{1}{10} \\ z = \frac{3}{20} [/tex]
x : y : z = 3/4 : 1/10 : 3/20
If we were to make them all in the same denominator, x : y : z = 15/20 : 2/20 : 3/20.
[tex] \frac{3}{4} \times \frac{5}{5} = \frac{15}{20} \\ \\ \frac{1}{10} \times \frac{2}{2} = \frac{2}{20}[/tex]
Put the following equation of a line into slop-intercept form, simplifying all fractions.
2y - x = -8
Answers
First, you use the inverse operation to add x to -x
2y-x=-8
+x +x
—————
2y=x-8
Next you divide 2 by both sides of the equation
2/2y=x-8/2
The twos on the left side of the equation cancel out and you simplify the rest of the problem...
y=x/2-4
When you isolate the variable, the goal is to get the variable
А
to equal 1.
B
on both sides of the equal sign to show they are equal.
by itself on one side of the equal sign and a value on the other.
D
by itself on one side of the equal sign and zero on the other side.
Answers
Answer:
answer is c.
Step-by-step explanation:
for example:
y=77
I hope it's helpful!
Hope it helped!!
need help doing this question!!
Answers
Answer:
6
Step-by-step explanation:
the diameter is double the radius which the distance from the center of the circle to to the edge or line AG.
4/5 divided by 2/3
uhm this is to short soooo
Answers
Answer:
6/5
Step-by-step explanation:
18. Find the measure of angle STP.
Answers
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
what would a 64 ring size be in the US THANKSSSS
Answers
Answer:
10.75 would be a 64 ring size in the US
Margo places 6 pennies and 4 nickels in a jar. For the experiment, she selects a penny, replaces it, and selects another penny. If Margo repeats the experiment 100 times, how many times can she expect to select two pennies?
Answers
Answer: She is expected to select 2 pennies 36 times.
Step-by-step explanation:
In jar , we have
6 pennies and 4 nickels
Total coins = 10
The probability of getting two pennies ( with replacement) =
[tex]\dfrac{\text{Number if ways to get 2 pennies}}{\text{Total ways to select 2 coins}}\\\\=\dfrac{6\times6}{10\times10} \ \ [\text{independent events]}\\\\=\dfrac{36}{100}[/tex]
If Margo repeats the experiment 100 times, then expected number of times to select two pennies = [tex]\dfrac{36}{100}\times100=36[/tex]
She is expected to select 2 pennies 36 times.
We will see that Margo can expect to randomly select two pennies 36 times.
Probability of selecting two pennies at random.
The probability of selecting a penny at random is equal to the quotient between the number of pennies in the jar and the total number of coins in the jar, this is:
p = 6/10
And doing that two times, needs that probability two times, so the probability of selecting two pennies is:
p = (6/10)*(6/10) = 36/100
How many times she can expect to select 2 pennies in 100 attempts?Here we just need to multiply the above probability by 100, we will get:
(36/100)*100 = 36
So she can expect to get two pennies 36 times.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Can i pls have help with is soooooooooo confused
Answers
500.
Solution: 210 is 42% of X
Equation: Y = P% * X
Solving our equation for X
X = Y/P%
X = 210/42%
Converting percent to decimal:
p = 42%/100 = 0.42
X = 210/0.42
X = 500
Why do you think inequalities can have multiple solutions?
Answers
Answer:
Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are "all numbers strictly greater than 3".The inequality has an infinite amount of solutions.
hope this helps!!:)
Step-by-step explanation:
Answer this from male and then down or in a row make it clear winner gets brainliest
Answers
Answer:
Hope it helps u
Step-by-step explanation:
Check this image it contain ur part a
for part b post this question again then tag me i will solve it properly for u for any doubt just ask ok!!!!!!
Answer:
white male=14white female=7black male=18black female=9total male=32total female=16total rabbits=48hope it helps.
what are the four next multiples of 1/9
Answers
Answer:
just doubling the numerator just like ,1/9, 2/9 keep going
Step-by-step explanation:
Answer:
1/9 2/9 3/9 just keep going
Have you ever done something and regretted it literally 2 seconds later
Well I have
I decided it would be a good idea to eat a small bag of takis
somehow forgetting that I literally cant eat spicy food without crying
so I ate the bag and now I feel like I am dying
so thank you for listening to my ted talk
Answers
Answer:
sos
Step-by-step explanation:
20 POINTS PLS HELP
What is true of the data in the dot plot? Check all that apply.
Number of Minutes Shelly Spent Waiting for the Bus Each Morning
A dot plot going from 10 to 15. 10 has 2 dots, 11 has 4 dots, 12 has 0 dots, 13 has 3 dots, 14 has 6 dots, 15 has 1 dot.
The center is 13.
The center is 14.
The peak is at 14.
It has two clusters.
It is skewed left.
The spread is from 13 to 15.
The person waited for the bus 16 times.
Answers
Answer:
True answers for data in the plot are
The center is 13
The center is not 14
The Peak is 14.
It has three clusters
It is not symmetric to left or right it is bi-modal.
It is has a range from 10 to 15 most number of data points are 13 to 15.
Total number times Shelly waited is 16 times.
Step-by-step explanation:
While taking cumulative frequency 56.75 percentage comes in 13%.
It is the center point of the data.
The 14 is not the center as it shows 93rd percent.
It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
It is not skewed on the left is has bi modal frequency has two heights.
The person indeed waited for 16 times adding total dots.
There was a zero 12 which created bi-modal distribution
Ruby bought a new car for £10625. She got a discount of 15% of the recommended retail
price of the car. How much money did Ruby save?
Answers
Answer:
15/100 x 10625
Saved: 1593.75 pounds
please help
Thanks in advance
Answers
One quarter of a number x is 7. Write the equation may be used to find x.
Answers
Answer:
[tex]\frac{1}{4}[/tex] x = 7
Step-by-step explanation:
We are told one quarter of x is equal to 7 , then the equation is
[tex]\frac{1}{4}[/tex] x = 7 ( multiply both sides by 4 to clear the fraction )
x = 28
The area a rectangle is 5/18 square foot. If the length of the rectangle is 5/6 foot, what is the width of the rectangle in feet?
25/108 feet
1/3 feet
5/9 feet
3 feet
Answers
You are smart I know you are
After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents this
situation?
A(5x8) / s
B. 5x (8/s)
C. Sx (5+8)
D. (S+5)x8
Answers
Answer: D
Step-by-step explanation:
Which list shows the fractions in order from greatest to least? will mark brainliest !!
pleas help
Answers
Answer:
B) 2/3, 1/2, 2/5
if Maya drove 30 laps in six minutes how many laps did she drive in one minute
Answers
Answer:
5 laps in one minute.
Step-by-step explanation:
1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.
b. Suppose Q is the midpoint of PR. What is the
justification for the statement that PQ = QR?
Answers
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answers
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
If tommy rode his bike 4.3 miles a day, 3 days a week for 5 years delivering news papers and he dropped 22.7 newspapers every 1/4 mile. How many newspapers did tommy drop?
Answers
Answer:
277 848 newspapers.
Step-by-step explanation:
Find out how much newspaper he drops for 4.3 miles.
1/4 = 0.25
4.3 miles ÷ 0.25 = 17.2
= 17
17 x 22.7 = 385.9
(Newspapers be dropped a day)
1 week of dropping newspapers = 385.9 x 3 = 1157.7
1 month of dropping newspapers = 1157.7 x 4 =
4630.8
1 year = 12 months
5 years = 12 x 5 = 60 months.
5 years/60 months of dropping newspapers = 4630.8 x 60 = 277 848
Tommy dropped 277 848 newspapers.
Please help!!
Will mark brainliest
Answers
Answer:
c is the answer or the third one
need help on b already done a
Answers
16/24=2/3 or 66.67%
help me pleaseee i need help
Answers
Answer:
1/2
Step-by-step explanation:
You start by taking 3/4 and turning it into 6/8 so you can add it to the 3/8 which equals 9/8. 9/8-5/8 is equal to 4/8. Simplify it and you have 1/2
Mr. Nelson paid $3.84 sales tax. He paid a sales tax rate of 8%. How much was the item he
was buying before sales tax was added?
Answers
I slept with yo mama and she got the wap
Hey guys help ASAP!! Algebra 1 question