A sequence can be generated by using an = 4a(n - 1)) where a= 6 and n is a whole
number greater than 1. What are the first four terms in the sequence?
Answers
Given:
The sequence can be generated by
[tex]a_n=4a_{(n - 1)}[/tex]
Where [tex]a_1= 6[/tex] and [tex]n[/tex] is a whole number greater than 1.
To find:
The first four terms of the given sequence.
Solution:
We have,
[tex]a_n=4a_{(n - 1)}[/tex] ...(i)
It is given that [tex]a_1= 6[/tex]. So, for [tex]n=2[/tex], we get
[tex]a_2=4a_{(2 - 1)}[/tex]
[tex]a_2=4a_1[/tex]
[tex]a_2=4(6)[/tex]
[tex]a_2=24[/tex]
Putting [tex]n=3[/tex] in (i), we get
[tex]a_3=4a_{(3- 1)}[/tex]
[tex]a_3=4a_2[/tex]
[tex]a_3=4(24)[/tex]
[tex]a_3=96[/tex]
Putting [tex]n=4[/tex] in (i), we get
[tex]a_4=4a_{(4- 1)}[/tex]
[tex]a_4=4a_3[/tex]
[tex]a_4=4(96)[/tex]
[tex]a_4=384[/tex]
The first four terms of the given sequence are 6, 24, 96,384.
Therefore, the correct option is C.
Related Questions
An initial population of 490 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 5 years?
Answers
Answer:
656
Step-by-step explanation:
Given data
Initila population= 490
Rate = 6%
TIme= 5 years
Let us apply the compounding expression
A=P(1+r)^t
substitute
A= 490(1+0.06)^5
A=490(1.06)^5
A=490*1.338
A= 655.62
Hence the approximate Quail population will be 656
HELP ME PLEASE FOR THE SAKE OF GOD :)
Answers
200+16=216
The initial amount after a year will be 216$
ABCD is a trapezoid. The coordinates are A(-4, -1), B(0,3), C(8,3) and D(8, -1). Find the length of the midsegment of the trapezoid.
Answers
Answer:
Step-by-step explanation:
Opppppssssssss
For every two dollars that Taylor saves in her account, her brother saves five dollars in his account. If Taylor has 40 dollars in her account, how much money does her brother have in his account?
Answers
Answer:
100 dollars
Step-by-step explanation:
Taylor saved two dollars each time and she has 40 which is 20 x 2=40 so do the same for her brother 5 x 20= 100.
Joey is paid a base fee of $6 per shift, and $6.50/h. how much will he make in 10 hours?
Answers
Answer:
ehh?!
Step-by-step explanation:
Answer:
(6.50x10)+6=71
Step-by-step explanation:
HELLLLPPPP MEEEEEE PLEASEEE
Answers
Answer:
its 180 sjosjdoe hi irjsodkc
convert the fraction into a decimal
12/25
Answers
Answer:
it would be 0.48
Step-by-step explanation:
yeah you divide
[tex]{ \large{ \sf{ \dfrac{12}{25} = 0.48 }}}[/tex]
What is the side lengths in inches of a cube with volume of 1 cubic inch
Answers
Answer:
1 Inch
(Sorry for this, there wasn't enough letters in my answer)
Help? which one should I choose
Answers
Answer:
true
Step-by-step explanation:
For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.
The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.
Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.
$70 shoes, with 6% sales tax
Answers
Answer: $4.20
Step-by-step explanation:
Answer:
Shoes would cost $74.2 with tax
Step-by-step explanation:
70 * 0.06 = 4.2
70+ 4.2 = 74.2
Jana wrote the expression 5n+3 as part of a problem she was solving. She wanted Sally to read it back to her verbally so she could check her work. Which verbal description best represents the expression 5n+3 (PLEASE ANSWER AS QUICK AS POSSIBLE!!)
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
three more than five times some number n
I need to solve for x this is really easy I just don't have the time to do it please help.
Answers
2x+76=180
2x=104
x=52
Hope this helps!! :)
Answer:
2x+76°=180°[by co interior angle]
2x=180°-76°
2x=104°
x=104°/2
x=52
Write an equation for each graph in a slope
Intercept form
Answers
Answer:
y=2x-3
Step-by-step explanation:
Y-intercept can be read off the graph.
Slope can be determined using the formula:
y2-y1 divided by x2-x1 (Substitute co-ordinates)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
Where m is the slope and b is the y intercept
Slope is rise over run, the line is up 2 over 1
And the point of the line where it meets the y axis is -3. so b is -3
Please help me with these!
Answers
Answer:
Step-by-step explanation:
A1. C = 104°, b = 16, c = 25
Law of Sines: B = arcsin[b·sinC/c} ≅ 38.4°
A = 180-C-B = 37.6°
Law of Sines: a = c·sinA/sinC ≅ 15.7
A2. B = 56°, b = 17, c = 14
Law of Sines: C = arcsin[c·sinB/b] ≅43.1°
A = 180-B-C = 80.9°
Law of Sines: a = b·sinA/sinB ≅ 20.2
B1. B = 116°, a = 11, c = 15
Law of Cosines: b = √(a² + c² - 2ac·cosB) = 22.2
A = arccos{(b²+c²-a²)/(2bc) ≅26.5°
C = 180-A-B = 37.5°
B2. a=18, b=29, c=30
Law of Cosines: A = arccos{(b²+c²-a²)/(2bc) ≅ 35.5°
Law of Cosines: B = arccos[(a²+c²-b²)/(2ac) = 69.2°
C = 180-A-B = 75.3°
S(-2, 4) and T (3,9).
The midpoint is MC). The distance between S and T is about
Answers
Answer:
for this one
midpoint=(0.5,6.5)
distance=7.1
Step-by-step explanation:
hope this help u
Marissa wrote her bike to the park and back up halfway to the park she stopped at the library she was one 310 miles from the library how many miles and miles to ride her bike and all now
Answers
Answer:
5 1/5 miles
Step-by-step explanation:
Given that :
Library is located halfway between park and home ;
Distance between library and park = 1 3/10 miles
Hence, total distance between park and home :
1 3/10 + 1 3/10 = 2 6/10
The distance driven :
Home to park ; park back home
2 6/10 + 2 6/10 = 4 12/10
4 + 12/10 = 4 + 1 2/10
= 5 2/10
= 5 1/5 miles
The Red Cross is distributing water to
disaster victims. They have 500 gallons of
water and they give 2 gallons to each
person in need. Write an equation
describing the amount of water, w, the Red
Cross has left and the number of people, p,
they have helped
Write the equation, then state how many victims could receive water until the red cross has only half of the original water that they started with left ?
Please help me asap it’s due in 30 minutes!
Answers
Step-by-step explanation:
500=2x
x= 250....ppl can get water
250==2x
125....ppl can get water now
Help? you don’t need to show work
Answers
Answer:
186/300
0.62
62%
more likely to get the tile z from the second bag
Step-by-step explanation:
If Charlie had 100 million followers and lost 15 million for v****g how much follower does she have now
Answers
Answer:
85000000
Step-by-step explanation:
it's easy so simple
Simplify the following expressions:
(25)6
Answers
Answer:
Step-by-step explanation:
2 with and exponent of 5 is 10 then you have to multiply that answer by 6 which will give you the answer of 60
So your final answer is 60
hope this helped :)
Find the standard deviation. {0, 4, 7, 1, 3, 5, 2}
Answers
Answer:
2.23
Step-by-step explanation:
A store is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d , and it's original price, p.
Answers
Answer:
80%p=d
Step-by-step explanation:
20% discount is 80% of original.
An equation for the relationship between the discount price of an item, d, and it's original price, p is p = 0.8d.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A store is offering a 20% discount on all items.
Let the discount price of an item, d, and it's original price, p.
The original price = (100 - 20%)discount price
p = 80%d
p = 0.8d
Therefore, p = 0.8d is the required equation.
To learn more about the percentage;
brainly.com/question/24159063
#SPJ5
we're you able to plot the given numbers?
Answers
Step-by-step explanation:
calculate the x-intercept by making y=o and substitute the values of x into the equation to get y-values
Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Mark this and return
Answers
B. ( -3, 4) , ( 3, 4 ) , ( 1, -4 ) , ( -2, -4 )
D. ( -4, 1) , ( 1, 2 ) , ( -1, -4 ) , ( -3, -4 )
C. ( -2, 3) , ( -4, 3 ) , ( -1, 2 ) , ( -4, -2 )
A. ( -3, 4) , ( -4, 3 ) , ( -4, 1 ) , ( -2, -4 )
Answers
Answer:
B
Step-by-step explanation:
There isn't really much explaining I can do but each time you find the co-ordinate of a point you can cancel out a possibility.
For example, one of the points is (-3,4) and the only one without this point is C so that answer is cancelled out, and you keep going this way until you are left with only on possible answer and that should be B.
Top left = (-3,4)
Bottom left = (-2, -4)
Top right = (3,4)
Bottom right = (1,-4)
(-3,4) is the point/dot on the top left corner.
(3,4) is the point on the top right corner.
(1,-4) is the point on the bottom right corner.
(-2,-4) is the point on the bottom left corner.
A plumber charges $10 for transportation and $37 per hour for repairs.
Complete the expression that can be used to find the coins in dollars for a repair that takes h hours.
An expression that can be used to find the cost in dollars for a repair that takes h hours is __________________
Answers
Answer:
10+37h
Step-by-step explanation:
10 is the flat fee so only happens once
37 is hourly rate so multiply by h (hours)
HELP!!!
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
Answers
Answer: 3/4 cup
Step-by-step explanation: yeah
xjjdjdicjckxxjxixnjxnxnxnxnf
Answers
Answer:
66
Step-by-step explanation:
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $15 and a pie costs $13. In one
day, the store sold 9 baked goods for a total of $121. How many cakes did they sell?
a. 8 cakes
c. 7 cakes
b. 2 cakes
d. 4 cakes
Answers
Answer:
a. 8
Step-by-step explanation: Out of 12 baked goods sold , let the number of cakes sold, be x in number and pies sold were 12 − x in number. Total sell was $ 144 , 1 cake costs $ 14 and 1 pie costs, $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96 or 6 x = 48 ∴ x = 8
10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3
Answers
Answer:
The answer is C hopefully this helps
Step-by-step explanation: