The explicit formula for the sequence,
aₙ = 540(1/3)ⁿ⁻¹.
And the recursive formula for the sequence,
aₙ = aₙ₋₁(1/3).
What is geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
Given:
540, 180, 60, 20, ...
The sequence is a geometric sequence.
First, we find the common ratio.
180/540 = 1/3
60/180 = 1/3
20/60 = 1/3
Hence, 1/3 is the common ratio
r = 1/3
So,
the explicit formula for the sequence,
aₙ = 540(1/3)ⁿ⁻¹.
And the recursive formula for the sequence,
aₙ = aₙ₋₁(1/3)
Therefore, the formulae are given above.
To learn more about the geometric sequence;
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which expression is a sum of a number and a product
Answer:
3 + 5x
Step-by-step explanation:
I got it right, sorry if its for another problem.
Please help me, picture included!
Answer:
x = -1, y = 8/3 so the correct answer is A
Which equation is NOT a linear function?
Answer:
y=x^2-2
Step-by-step explanation:
Linear functions have a constant slope, so nonlinear functions have a slope that varies between points. Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions. An example of a nonlinear function is y = x^2
Answer:
y=x^2 -2
Step-by-step explanation:
This will result in a parabola, which does not fit the description of a linear function.
Could someone confirm if I was correct or not?
Marge wants to buy a CD player. The CD player costs $300. Marge gets $30 off. What percentage reduction does she get?
Answer:
10%
Step-by-step explanation
I don't know the exact math behind it sorry but i know that 10% or 300 is 30 plzz give me brainliest plzzzzz have a nice day
there are 80 students in class 16 / students are men what percent of the class are women
PLZZ SOMEONE DO THIS AND ILL LOVE U FOREVER, ILL GIVE BRAINLIEST
Answer:
The order of the clocks listed below
Step-by-step explanation:
1) 7:01
2) 12:12
3) 4:29
4) 1:11
5) 3:46
6) 6:33
7) 10:15
8) 6:59
9) 2:23
Owen has a square sheet of paper that measures 1 foot on each side. He folds the paper vertically and horizontally so that it makes equal sections. The model below shows the unfolded paper.
Answer:
The areas of the equal sections of boxes formed is 0.25ft^2
Step-by-step explanation:
The question is not complete, as we are not told what to solve for, nevertheless, we can make some findings from the given information
Given data
We are told that the dimension of the paper is 1 ft
So, when the paper is folded twice, one horizontal and one vertical, the dimension of each box will be 0.5 ft
Hence there will be 4 boxes formed
And their areas will be
Area= 0.5*0.5
Area= 0.25ft^2
through: (2,-5), parallel to y = 7/5x +4
Answer:
0/04/18. through (5,2)), parallel to y=7/5x+4. slope intercept form.
Step-by-step explanation:
There were 600 soilders in the battle. The ratio of Texas soldiers to Mexican soldiers was 7:3, how many more Texan soldiers were in battle me?
Answer:
240 more soldiers
Step-by-step explanation:
600/10 = 60
60 x 7 = 420
60 x 3 = 180
420 - 180 = 240
Write an
inequality to compare – 24 and -14.
Answer: The position of -24 is to the left of -14.
The position of -14 is to the right of -24.
Step-by-step explanation:
We can conclude that -18 < -2.
We can conclude that -14> -24.
If the diameter of Nicole's bike wheel is 90cm, what is the approximate distance the wheel travels in one revolution?
Answer:
282.7 cm
Step-by-step explanation: One spin is one circumference. That's π(diameter)= 282.7
ASAPI NEED THIS NOWWW
Answer:
It is J
Step-by-step explanation: 19.5 times 7 is 136.5
What is the solution to this system of equations?
Answer: (-1/3, 3/5)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−1/3,3/5)
Equation Form:
x=−1/3, y=3/5
You spend $117 on books and movies. You pay $12 per book and $15 per movie. You buy 3 more books than movies. How many of each
item do you buy?
Please help!
Answer:
you would buy 6 books and 3 movies.
Step-by-step explanation:
3 movies = $45
6 books = $72
$72 + $45 = $117
What is 6.16 rounded to the nearest tenth?
Answer:
6.2
Step-by-step explanation:
Okay so in order to solve this equation you are going to have to round up the tenths place which is the space after the decimal point.
6.16 = 6.2
because 6 is above 5 you are able to round up to ten turning 6.16 to 6.2
Hope this helps you!!!
can you help me please i will but you the brainest please help me and i will rate you a 5 please
Answer:
a. -1
b. 5
c. -9
d. 9
Step-by-step explanation:
Answer:
a: -1 or 1 (depends on grade)
b: 5
c: -9
d: 9
Step-by-step explanation:
i dont know if these are right, so yea :)
A fancy new litter box is sold at a pet store for $47.50. It is on sale for a discount of 15%. What is the total payment with the discount if the sales tax is 0.5%?
Round your answer to the nearest cent.
Answer:
hiiiiii
Step-by-step explanation:
I need points :P
Which is equal to the cosine of
Answer:
0.8
Step-by-step explanation:
The following data were obtained from the question:
Opposite = 3
Adjacent = 4
Hypothenus = 5
Cos R =?
Cosine R can be obtained by using the cosine ratio as illustrated below:
Cos R = Adjacent / Hypothenus
Cos R = 4/5
Cos R = 0.8
Thus, cosine R is equal to 0.8
If x=3 and y = ─ 4 , find i) (x─y) ─ y ii) ( x+y) +x 2. Write two pairs of numbers satisfying the equation xꓥ2 + yꓥ2 = 25
Answer:
i) (x -y) -y = 11
ii) (x+y) + x² = 8
iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation x² + y² = 25
Step-by-step explanation:
Step(i):-
Given that x =3 and y=-4
i) (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11
ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8
Step(ii):-
Given equation
x² + y² = 25
we can choose (x,y) = ( 3 , -4)
3²+(-4)² = 25
25 = 25
The ordered pair ( 3,-4) satisfies the equation
second ordered pair ( 3 ,4)
x² + y² = 25
9 + 16 = 25
25 = 25
Final answer:-
i) (x -y) -y = 11
ii) (x+y) + x² = 8
iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation x² + y² = 25
A number from 1-30 is randomly selected, followed by a letter from the word TARGET. What is the probability of selecting a perfect square, then the letter T?
Answer:
21
Step-by-step explanation:
Triangle RST is rotated 90° about the origin to create triangle R’S’T’. Which rule describes this transformation?
Step-by-step explanation:
it is 90 degree followed by 2 unit translatations counterclockwise.
Pleaseeeee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
Hi there! Your answer is A, B, and C.
Step-by-step explanation:
It has four sides and whatever shape has four sides is a quad. We can also see that it equal sides so it can be both a square and a rhombus. Remember that a rhombus can be both a square and a rhombus.
Julio wants to deposit $1500 into savings accounts at three different banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will deposit five times as much into Merchant Bank as Bank of Chance because they offer a higher interest rate. He also expects the Utopian Financing deposit to be only 25% of the total of the other two deposits. How much will Julio deposit into the Utopian Financing savings account?
please show work I'm confused on how to solve
A) 375
B) 1000
C) 200
D) 300
Enter the fraction that names the whole.
The fraction is ??
Answer:
7/7
Step-by-step explanation:
From the fact that all the squares are shaded, and there's 7 squares, the fraction for this is 7/7.
I hope this helps!
What are all the names that the number 16 could be classified as?
A. Integer and whole numbers
B. Whole and Natural Numbers
C. Integers, Whole, and Rational Numbers
D. Rational, Whole, Natural, and Integer
Answer:
C. Integers, Whole, and Rational Numbers
Step-by-step explanation:
Since 16 is a whole number, it is also an integer and whole number.
Here is a little tip: Any number that is a whole number will also be an integer and a rational number.
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In a complete sentence, explain the similarities and differences
between finding circumference when the radius is given and finding
the circumference when the diameter is given.
Answer:
Mathematically speaking, both of these are what are called measures. They are ways of getting at the size of something.
The circumference of a circle is a line, which is one-dimensional, which means it has length but zero width. The area of a circle, in contrast, is two-dimensional. This is the essential difference.
The consequence of this is that circumference is measured in units like centrimetres, or inches, or miles. But area is measured in units like square-centimetres, square inches, or square miles.
Is this what you meant?
Answer:
the circumference is the distance around the circle so u can use the formula c=2πr
the radius formula is r=c/2π
the diameter formula is d=2r
what you age and send u number
help help meeeeee help
Answer: the blue rectangle one, the second green one or the pink one. hard to decide between the last two. good luck!
Step-by-step explanation:
learned in 2nd grade
Answer:
Step-by-steAnswer: the blue rectangle one, the second green one or the pink one. hard to decide between the last twop explanation:
Sarah bought a gym membership. She paid a one-time fee of $57 for the year. How much does Sarah pay per month for this gym membership?
I need help understanding how to do this.
Answer:
Area of a trapezium = 1/2 * sum of parallel sides * distance between them
= 1/2 * (10 + 18) * 6
= 1/2 * 28 * 6
= 84 feet ^2
Area of a rectangle = length * breadth
= 18 * 12
= 216 feet ^2
Total Area = 84 + 216
Total area = 300 feet