Select the correct answer.
Select the function that defines the given sequence.
-8, -20, -50, –125, 625,...
ОА
- 1)
f(n) = -8-()
n-
OB.
- 1)
= -8.(29)
OC f(1) = -8
f(n) = f(n − 1), for n = 2, 3, 4, ...
OD. (1) = 8
f(n) = - . 1(n − 1), for n = 2, 3, 4, ...
Answers
Answer:
Option C
Step-by-step explanation:
f(1) = -8
f(2) = -5/2×-8 = -20
f(3) = -5/2×-20 = -125
.
.
.
So option C is the answer
Answer:
C. a1 = -8
an = an-1 * 5/2 for n >1
Step-by-step explanation:
-8, -20, -50, –125, 625,...
We need to find the common ratio
Take the second term and divide by the first term
-20/-8 = 5/2
Take the third term and divide by the second term
-50/-20 = 5/2
The common ratio is 5/2
A geometric sequence is
an = a1 * r^(n-1)
an = -8 *(5/2)^(n-1)
We can also write a recursive formula
a1 = -8
an = an-1 * 5/2 for n >1
Related Questions
The width of rectangle A is 2 feet and the length is 6 feet. The width of a similar rectangle is 3 feet. What is it length
Answers
9514 1404 393
Answer:
9 ft
Step-by-step explanation:
The length is 3 times the width, so in the larger rectangle it will be ...
length = 3×width = 3×(3 ft) = 9 ft
The length of the larger rectangle is 9 feet.
_____
Additional comment
We used the fact that the ratios of side lengths (length:width) are the same for similar figures.
You can also recognize that the larger rectangle's dimensions are 3/2 times those of the smaller rectangle. (3/2)(6 ft) = 9 ft . . . length of larger rectangle
Answer:
The answer is 9
I might be wrong....
Step-by-step explanation:
I got it because 2x3=6 so i multiplied 3x3 and 9
AGAIN I MIGHT BE WRONG!!!
this app and you guys help me a lot and all need today is thank you and I need help
Answers
Answer:
a, b, and c are parallelograms.
Step-by-step explanation:
d is not one as it has 5 sides,
e is not a parallelogram because it is a triangle, and has 3 sides
hope this helps :D
Answer:
A, B and C
Step-by-step explanation:
A, B and C are parallelograms.
What is the answer to my question?
Answers
Answer:
2/3
Step-by-step explanation:
24/36
Divide the top and the bottom by 12
24/12 =2
36/12 = 3
2/3
The product of 87(10000)
Answers
Answer:
870,000
Step-by-step explanation:
When multiplying the two you add as many 0's to 87 as there are in 10,000
Match the expressions given in words with their algebraic expressions.
&+59
5(5—9)
5+39
5(9-5)
-56
Answers
Answer:
5+39 this is the answer 5+39
plez halppp mehh ;-;
Answers
2) True
3) True.
You can see for number one the angles are not the same, therefore they are not equal to eachother.
For two, because the line EC is running flat it is equal to 180. Because their is a little box on the other side of 1 & 2, we know that is equivalent to 90 degrees. Therefore the other side (1 &2) HAS to be 90, because the line in which they are on is 180, 90+ 90 = 180.
3, The same type of math for #2
Answer:
False
True
True
Step-by-step explanation:
Angle 1 cannot be equal to angle 4. Even by just viewing one can see that they can't be equal.
Angle 1 and 2 when combined give a 90 degree angle going from a to c.
Angle 3 and 4 form a 180 degree angle.
HOPE THIS HELPED
please help!! need answer will give brainliest
Answers
Answer:
k(3) is 7 and f(h(15)) is 43
Step-by-step explanation:
(a).
[tex]{ \sf{k(x) = h(x) + g(x)}} \\ { \sf{k(x) = (3 \sqrt{x + 1}) + ( - {x}^{2} + 3x + 1) }} \\ { \sf{k(x) = (3 \sqrt{3 + 1} ) + ( - {3}^{2} + 3(3) + 1) }} \\ { \sf{k(x) = 6 + 1}} \\ { \sf{k(x) = 7}}[/tex]
b).
[tex]{ \sf{f(h(x)) = 4(3 \sqrt{x + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{15 + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{16} ) - 5}} \\ { \sf{f(h(15)) = 48 - 5}} \\ { \sf{f(h(15)) = 43}}[/tex]
Find the slope of the line containing the points (4, -7) and (6,-8).
Answers
HHHHHHHheeellllllppppp MEMEMEMEMMEMEMEMEMEEEEEEEE PLLLZZZZ
Answers
-2.31-(-5.9)
When a negative is being subtracted you replace it with an addition symbol. So, now the equation is -2.31+5.9
Answer: 3.59
solve the equation[tex]x^3+\left(y^'\right)^3-3xy^'\:=0[/tex]
Answers
Answer:0
Step-by-step explanation:
3x=3xy
x=0
y=0
3 times 0 = 0
True or false? The polynomial 3xy + 4z - 8 is a trinomial.
Answers
Answer:
False is the answer.Step-by-step explanation:
answer is False.Answer:
True.
Step-by-step explanation:
A trinomial is an algebraic expression consisting of 3 terms. The terms in this instance are: 3xy, 4z, and -8.
help???
if abc =70 is what is adc
Answers
Answer:
I belive it is 46
Step-by-step explanation:
When two resistors with resistances of A ohms and
B ohms are in a parallel-series circuit, the total
resistance, R, in ohms, is given by the equation above.
According to this equation, which of the following
resistances of the two resistors would yield the greatest
total resistance?
A) 1 ohm and 1 ohm
B) 1 ohm and 2 ohms
C) 1 ohm and 4 ohms
D) 2 ohms and 2 ohms
Answers
Step-by-step explanation:
Answer: D) 2 ohms and 2 ohms
Find y when x = 4 (30 points)
Answers
Answer:
y = 54/25
Step-by-step explanation:
y = p×q^(x-1)
when x = 1 then y = 10
so,
10 = p×q^(1-1)
or, 10 = p×1
or, p = 10
when x = 6 then y = 0.7776
0.7776=p×q^(6-1)
or, 0.7776=p×q^5
or, 0.7776=10×q⁵
[0.7776 = 7776/10000 = 486/625]
or, 486/625 = 10×q⁵
or, 486/6250=q⁵
or, [tex] \frac{ \sqrt[5]{486} }{ \sqrt[5]{6250} } = q[/tex]
or, [tex]q = \frac{3 \sqrt[5]{2} }{5 \sqrt[5]{2} } [/tex]
or, q = 3/5
so, when x = 4
y = p×q^(x-1)
y = 10×(3/5)^(4-1)
y = 10×(3/5)^3
y = 10×27/125
y = 54/25
What's the measure of an arc with a central angle of 90°?
1) 90°
2) 360°
3) T°
4) 180°
Answers
Answer:
1.) 90° degrees becausemeasure of an arc is equal to the measure of an arc's central angle.
find the circumference of a circle with a diameter of 2.5 inches
Answers
Answer:
Circumference=2π*(radius)
= 2*3.14*2.5 inches
= 15.7 inches
A rope that is 6 meters long will be cut into 24 pieces that are all of the same lengths. What will the length of each piece, in centimeters? (Note: 100 centimeters = 1 meter)
Answers
Answer: 25 cm
Step-by-step explanation: 6 meters = 600 cm
600 / 24 = 25
5. Refer to the figure shown. Determine the measure of
the unknown angle. Show or explain your thanking.
Answers
Answer:
you haven't posted any diagram
Step-by-step explanation:
Write an equation of the line passing through (-5,-5) and (0,-9)
Answers
Answer:
[tex]y=-\frac{4}{5}x-9[/tex]
The sum of ten positive odd numbers is 20. Some numbers may repeat, find the largest number that is used in this sum.
(If possible please show me the step-by-step process, it would really help me)
Answers
Answer:
11
Step-by-step explanation:
Get the biggest number by making the others small.
the smallest odd number is 1, so if we get 9 ones, that equals to 9. 11+9 = 20. largest number used is 11.
The greatest odd number is 11 to get the sum of 20.
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Get the biggest number by making the others small.
The smallest odd number is 1, so if we get 9 ones, that equals 9.
11+9 = 20.
The largest number used is 11.
To know more about summation follow
brainly.com/question/542712
#SPJ2
How many prime numbers are there between 1 to 100? a) 17 b) 25 c) 32 d) None of these
Answers
Answer:
b)25
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
find the value of z, secant and tangent angles
Answers
Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Answer:
[tex]A)\ \ z = 110[/tex]
Step-by-step explanation:
One is given a circle with two secants. Please note that a secant is a line that intersects a circle in two places. The secant exterior angle theorem states that when two secants intersect each other outside of a circle, the measure of the angle formed is half the of the positive difference of the intersecting arcs. One can apply this theorem here by stating the following:
[tex]2x+15=\frac{(10x+20)-(80)}{2}[/tex]
Simplify,
[tex]2x+15=\frac{(10x+20)-(80)}{2}[/tex]
[tex]2x+15=\frac{10x-60}{2}[/tex]
[tex]2x+15=5x-30[/tex]
Inverse operations,
[tex]2x+15=5x-30[/tex]
[tex]15=3x-30[/tex]
[tex]45=3x[/tex]
[tex]15=x[/tex]
Substitute this value into the equation for one of the intersecting arcs to find the numerical value of that intersecting arc:
[tex]10x+20\\x = 15\\\\10(15) + 20\\= 150 + 20\\= 170[/tex]
The sum of all arc measures in a circle is (360) degrees. One can apply this here by stating the following:
[tex]80 + 170 + z = 360[/tex]
Simplify,
[tex]80 + 170 + z = 360[/tex]
[tex]250 + z = 360[/tex]
Inverse operations,
[tex]250 + z = 360[/tex]
[tex]z = 110[/tex]
is x^2 + 1 a polynomial
Answers
Answer: Answer: x^2 - 1 is not a polynomial as after simplifying it there will be no variable.
Step-by-step explanation:
at what rate percent compound interest is Rs 700 amount to Rs 847 in 2 years?
Answers
9514 1404 393
Answer:
10%
Step-by-step explanation:
The balance when principal P is invested at rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
We have A = 847, P = 700, n = 1, t = 2 and we want to solve for r. Filling in the values and solving the equation gives ...
847 = 700(1 +r)^2
√(847/700) = 1 +r = 1.10 . . . . divide by 700 and take the square root
r = 0.10 = 10% . . . . . subtract 1
An interest rate of 10% compounded annually will give a balance of ₹847.
Hey guys are you available?
Answers
Answer:
c
Step-by-step explanation:
Answer:C
Step-by-step explanation:
Concord Company purchased a machine on July 1, 2021, for $29,400. Concord paid $210 in title fees and county property tax of $131 on the machine. In addition, Concord paid $525 shipping charges for delivery, and $499 was paid to a local contractor to build and wire a platform for the machine on the plant floor. The machine has an estimated useful life of 6 years with a salvage value of $3,150.
Answers
Answer:NONE
Step-by-step explanation:
No question asked
find the quotient 1/5 / (-5/7) =
Answers
Answer:
-7/25
Step-by-step explanation:
1/5 ÷ (-5/7)
Copy dot flip
1/5 * -7/5
-7/25
A race car is traveling at a rate of 36 yards per second. What is the car's speed in miles per hour?
Answers
Answer: The car is traveling at 73.63638 Mph
Step-by-step explanation:
1 yard per second is the same as 3 feet per second.
there are 5280ft per mile
So, at 36 yards per second, the car is traveling at 108/5280th (0.02045455) of a mile per second
0.02045455 * 60 (seconds) * 60 (minutes) = 73.63638 Mph
Physical prototypes are: Group of answer choices representation of the product in a nontangible, usually mathematical or visual manner. tangible approximation of the product that often look and feel like the product. analyzed rather than built. computer simulated or computer models of three-dimensional geometry.
Answers
Answer:
(b) tangible approximation of the product that often look and feel like the product
Step-by-step explanation:
"Physical" means it exists as an object in the real world, not just as a model on a computer screen. "Prototype" means it is an approximation of the finished product, lacking in one or more details of appearance, structure, or functionality.
Find the volume of the figure and round your answer to the nearest tenth if necessary
Answers
The volume of a cylinder is:
pi x radius^2 x height
So, 3.14 x 12^2 x 7 = 3.1667
