Answers
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{560}{1120}[/tex]
[tex]r=0.5[/tex]
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where a is the first term and r is the common ratio.
Putting [tex]a=1120, r=0.5[/tex], we get
[tex]a_n=1120(0.5)^{n-1}[/tex]
Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].
We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.
[tex]a_{10}=1120(0.5)^{10-1}[/tex]
[tex]a_{10}=1120(0.5)^{9}[/tex]
[tex]a_{10}=1120(0.001953125)[/tex]
[tex]a_{10}=2.1875[/tex]
Therefore, the 10th term of the given sequence is 2.1875.
Related Questions
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Answers
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
Guys please help do I multiply or divid & which number will I be diving w or multiply
Answers
Answer:
1. a) $24, b) $36, c) $48
2. a) $18, b) $27, c) $36
3. a) $1.64, b) $2.46, c) $3.28
5. a) $30, b) $50, c) $70
6. a) $4.05, b) $6.75, c) $10.80
7. a) $14.85, b) $24.75, c) $39.60
Explanations:
Whatever we multiply the item by, we multiply the cost by. If we double the number of socks, we double the price. If we triple the number of socks, we triple the price.
1. a) 3 costs $12, and 3 x 2 = 6, so we do the same to the price: $12 x 2 = $24
b) 3 times 3 is 9, so 3 x 12 gives you that cost, $36
c) 3 x 4 = 12, so 12 x 4 = $48
2. a) 3 pairs is $9, and we need 6 pairs. 3 x 2 = 6, so we also multiply the price x 2 = $18
b) 3 x 3 = 9 pairs, multiply the cost times 3 as well. 9 x 3 = $27
c) 3 x 4 = 12, multiply the cost x 4. 9 x 4 = 36
3. 4 apples cost $0.82
a) 4 x 2 = 8 apples, $0.82 x 2 = $1.64
b) 4 x 3 = 12 apples, $0.82 x 3 = $2.46
c) 4 x 4 = 16 apples, $0.82 x 4 = $3.28
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The concept is the same for all the other questions as well. Please comment below if you need a different explanation to understand this. :)
A. $9.00
B. $13.50
C. $18.00
8. $4.25 for 3 ice cream cones
A. $12.75
B. $21.25
C. $38.25
I saw your questions in the comments. Your lesson is probably about unit rates and just use the same technique the person above me did! Its pretty easy tho.
Have a nice day! At least give my answer a thanks.
|x-4| if x>4
can you please help me
Answers
Answer: x - 4 without the absolute value bars surrounding it
=================================================
Explanation:
If x is larger than 4, then x-4 is positive. For example, if x = 5, then
x-4 = 5-4 = 1
So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.
It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.
In short, when x > 4, we simply drop the absolute value bars to get the answer x - 4
Fraccion decimal de -8,6
Answers
Answer:
− 1. ¯3
Step-by-step explanation:
In the diagram, AFGH-AXYZ.
G
X
14
16
10
Y
H
40
4
Z
*not drawn to scale
What is the length of XY?
O A. 20
B. 35
C. 40
D. 56
Answers
Answer:
the answer is 40 ..........
what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.
Answers
Answer:
40.84 to nearest hundredth.
Step-by-step explanation:
C = pi * d
= pi * 13
= 40.8407
find the difference below as a fraction 6/2_7/7
Answers
Answer:
2
Step-by-step explanation:
[tex]\frac{6}{2}[/tex] - [tex]\frac{7}{7}[/tex] First simplify each fraction
[tex]3[/tex] - 1 Then solve
2 Final answer
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
Answers
[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]
Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?
Answers
Answer: 3 were blue
Step-by-step explanation:
Blue + Red = 18....so.....
B + 5B = 18
6B = 18
B =18 / 6 = 3 blue
Plz help me well mark brainliest if correct
Answers
Answer:
61 seconds
Step-by-step explanation:
Answer:
23 seconds
Step-by-step explanation:
The slowest time is 23 second and the fastest time is 61 seconds
The time before the bar is the tens place and each time after the bar is the ones place
YALL PLEASE HELP ME ASAP
Answers
Answer:
B
Step-by-step explanation:
Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years
plz help meeeeeeeee :)
Answers
Answer:
SAS, cuz an angle and 2 of it's adjacent sides are given for each triangle that makes them congruent.
Hope this helps!
A company has found that for every 100 cans they have a misprint on 2 cans. if they produce 21850 cans per day how many cans should they predict to have misprint in a day
Answers
Answer:
437
Step-by-step explanation:
21850/100 * 2 = 437
Which fraction equal to 0.34
Answers
Answer:
17/50
Step-by-step explanation:
.34 is thirty four hundredths
This means 34/100
Simplifying by dividing the top and bottom by 2
17/50
Answer:
17÷50
Step-by-step explanation:
0.34
= 0.34/1
= (0.34 × 100) ÷ (1 × 100)
= 34/100
= (34)
÷(100) (you can divide by 2)
= 17÷50
Can someone please help?
Answers
Answer:
1515
Step-by-step explanation:
The question is in the picture (Alegbra 1)
Answers
Answer:
[tex]\frac{s}{s-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )
= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator
Leave first fraction, change division to multiplication, turn second fraction upside down
= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator
= [tex]\frac{s}{s-4}[/tex]
y : 11 = 27 : 33 what is y
Answers
9514 1404 393
Answer:
y = 9
Step-by-step explanation:
Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.
y = 27/3 = 9
The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16
Answers
Answer:
The answer is B and BTW AMC STOCKS ARE RISING
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
all the prime numbers between 1 and 30
Answers
Answer:
2,3,5,7,11,13,17,19,23,29
Step-by-step explanation:
Hope this helped (:
Please help with this thank you! :)
The following image shows the construction of segment RS.Based on the steps shown to create that construction,which type linenis RS?
A- Median
B-Midsegment
C-Altitude
D- Skew
Answers
Answer:
A) Median
Step-by-step explanation:
A median joins the midpoint of a side and the opposite vertex.
Can someone explain too please
Answers
Answer:
Answer = A.)10
Step-by-step explanation:
The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10
Francine is playing a board game with her friends. She needs to roll two dice
and get a total greater than ten to win the game on the next roll. What is the
probability that she will not win on the next roll?
Answers
10/12 = 5/6 probability that she will not win on the next roll
5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN
Answers
Answer:
C=6.6666666666666666666666666
Answer:
[tex]D.\frac{2}{6}[/tex]
Step-by-step explanation:
√15 = 3.87298334621
11/25 = 11 ÷ 25 = 0.44
3/20 = 3 ÷ 20 = 0.15
2/6 = 2 ÷ 6 = 0.33333333333
Pleaseeeeee help meeee
Answers
Answer:
I'm pretty sure its C
Step-by-step explanation:
Move the point P two steps right. The original coordinates of P were (2,5) moving the point 2 units right increases the X value (X,Y) by 2 units, making it (4, 5)
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answers
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the yard still
needs to be raked?
Answers
Answer:
Step-by-step explanation:
The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),
20/36 + 24/36.
The sum of these two fractions is 44/36, or 1/9.
1/9 of the yard remains to be raked.
what is the length of the hypotenuse?
please help!
Answers
Answer:
34
Step-by-step explanation:
Hypotenuse is the longest side
I hope this helped have a great day
Which symbol correctly compares the two angles? pi 3 \ 60^
Answers
Answer: =
Step-by-step explanation: just took the test
We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.
Which symbol correctly compares the two angles?
Here we have two angles, one in degrees and the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.
The angles are:
pi/3 rads
60°
First, remember that:
pi rads = 180°
1 rad = (180°/pi)
With this, we can change the units of the first angle to get:
pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°
So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.
pi/3 rads = 60°
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
You select 13 cards without replacement from a standard deck of 52 cards. What is the probability that you get 4 aces
Answers
Given :
You select 13 cards without replacement from a standard deck of 52 cards.
To Find :
The probability that you get 4 aces.
Solution :
Since, it is given that we need to select cards without replacement.
Probability of getting 4 aces is :
[tex]P = \dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50} \times \dfrac{1}{49}\times 4!\\\\P = 3.693 \times 10^{-6}[/tex]
Hence, this is the required solution.
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answers
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19