A sequence can be arithmetic, geometric, and it can take several other forms such as Fibonacci.
The values of f(3), f(4), f(5), f(6), f(7), and f(8) are 3, -2, -5, -3, 2, 5The value of f(25) is 2The given parameters are;
[tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]
[tex]\mathbf{f(1) = 2 }[/tex]
[tex]\mathbf{f(2) = 5 }[/tex]
Calculate f(3), f(4), f(5), f(6), f(7), and f(8).
Substitute 3 for n in [tex]\mathbf{f(n) = f(n-1)-f(n-2)}[/tex]
[tex]\mathbf{f(3) = f(3-1)-f(3-2)}[/tex]
[tex]\mathbf{f(3) = f(2)-f(1)}[/tex]
[tex]\mathbf{f(3) = 5-2}[/tex]
[tex]\mathbf{f(3) = 3}[/tex]
Following the above sequence, we have:
[tex]\mathbf{f(4) = f(3)-f(2)}[/tex]
[tex]\mathbf{f(4) = 3-5}[/tex]
[tex]\mathbf{f(4) = -2}[/tex]
[tex]\mathbf{f(5) = f(4)-f(3)}[/tex]
[tex]\mathbf{f(5) =-2- 3}[/tex]
[tex]\mathbf{f(5) = -5}[/tex]
[tex]\mathbf{f(6) = f(5)-f(4)}[/tex]
[tex]\mathbf{f(6) =-5- -2}[/tex]
[tex]\mathbf{f(6) = -3}[/tex]
[tex]\mathbf{f(7) = f(6)-f(5)}[/tex]
[tex]\mathbf{f(7) =-3--5}[/tex]
[tex]\mathbf{f(7) = 2}[/tex]
[tex]\mathbf{f(8) = f(7)-f(6)}[/tex]
[tex]\mathbf{f(8) =2--3}[/tex]
[tex]\mathbf{f(8) = 5}[/tex]
Hence, the values of f(3), f(4), f(5), f(6), f(7), and f(8) are 3, -2, -5, -3, 2, 5
Then, determine the value of f(25).
In (1), we have:
[tex]\mathbf{f(3) = 3}[/tex]
[tex]\mathbf{f(4) = -2}[/tex]
[tex]\mathbf{f(5) = -5}[/tex]
[tex]\mathbf{f(6) = -3}[/tex]
[tex]\mathbf{f(7) = 2}[/tex]
[tex]\mathbf{f(8) = 5}[/tex]
This means that:
[tex]\mathbf{f(n) = -f(n-3i)}[/tex]
Where i is greater than 0
Substitute 25 for n
[tex]\mathbf{f(25) = -f(25-3i)}[/tex]
Let i = 7.
So, we have:
[tex]\mathbf{f(25) = -f(25-3 \times 7)}[/tex]
[tex]\mathbf{f(25) = -f(25-21)}[/tex]
[tex]\mathbf{f(25) = -f(4)}[/tex]
So, we have:
[tex]\mathbf{f(25) = -(-2)}[/tex]
[tex]\mathbf{f(25) = 2}[/tex]
Hence, the value of f(25) is 2
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Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Step-by-step explanation:
B (-8,-6)
C (-10, -6)
D (-10,2)
E (-8,2)
?200 <?
O 11 and 12
0 12 and 13
O 13 and 14
0 14 and 15
Answer: 14 and 15
Step-by-step explanation:
The square root of 200 is 14.1421356237.
14< 14.1421356237 < 15
Helpppppppppppppppppp
Pppppo
Answer:
(2 * L)+(2 * W)
Step-by-step explanation:
What is the area of this triangle? I need help!! pleaseee
Answer:72
Step-by-step explanation: 9x8 =72
Please help! I don’t really understand
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
150 x 3 = $450
6/100 x 150 = $9
450 + 9 = $459
Company B:
3.10 x 150 = 465
4/100 x 150 = 6
465 + 6 = $471
Company C:
3.20 x 150 = $480
Now the order (Answer):
A(459), B(471), C(480)
Which number could be included in Group B
Answer:
C
Step-by-step explanation:
Just did the test
What is the value of the expression 6 3/4 ( - 11.5) ? Explain why your answer is positive or negative.
Answer:
-77.625
Step-by-step explanation:
Covert 6 3/4 Mix it with decimal Which is 6.75,
then calculate Times this 6.75 by (-11.5). and we will get
- 77.625 ( Answer)
What is the measure, in degrees, of angle x?
Answer:
121°
Step-by-step explanation:
they're basically the same
Answer:
121°
Step-by-step explanation:
Theorem of vertical angles state that the opposite angles formed by two intersecting lines are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
|Calculate the midpoint (-5,5), K(-3,-2)
Answer:
(-4,1.5)
Step-by-step explanation:
Given :-
Two points (-5,5) and (-3,-2)And we need to find out the midpoint of the two points. The midpoint of two points is given by the ,
[tex]:\implies[/tex] Midpoint =( x1+x2/2 , y1+y2/2)
[tex]:\implies[/tex] Midpoint =( -5-3/2 , 5-2/2)
[tex]:\implies[/tex] Midpoint =(-8/2,3/2)
[tex]:\implies[/tex] Midpoint = (-4 , 1.5)
Hence the midpoint of the two points is (-4,1.5) .Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
(-5,5) and (-3,-2)
★ Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]
★ We have :
x1 = -5 y1 = 5 x2= -3 y2 = -2★ Putting the values :
Refer the attachment.Additional Information :★ Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]★ Distance Formula :-
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]Preform the indecated operation 1/3x6/7
Answer:
0.257
Step-by-step explanation:
What is the sum of all interior angles of a regular hexagon? A. 120° B. 360° C. 540° D. 720°
Need answer for only number 15! please help!
28/10 simplify fraction
Please help quickly!!!! I will give brainiest
Answer:
A
Step-by-step explanation:
10% raise in $20 is $2, so its only $2 more, so each hour she would earn $2 more.
Option D is the answer. $200
Which equation describes the relationship shown in the table?
Items Sold
A- p=2i
B- i=2p
C- p=i+5
D- i=p+5
Answer:
A
Step-by-step explanation:
i = items sold
p = profit
Based on the table, the profit is twice the number of items sold. Therefore the answer is A. Correct me if I'm wrong. I hope it helps.
who is correct
please answer ASAP!!! pls (:
Answer:Dwight is correct
Step-by-step explanation:
The volume of a rectangular prism is 48 cubic centimeters. The volume of a similar rectangular prism is 6 cubic centimeters.
What is the scale factor for the rectangle?
a. 8
c. 4
b. 6
d. 2
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
See a sides are equal so your answer is 8.2 in.
Ram is 20 years older than Sam. In 5 years, Ram will be twice old as Sam .Find their present ages.
Answer:
Sam is 15 years old and Ram is 35.
in five years Sam will be 20 and Ram will be 40, which is twice as old in age.
Find the area of a circle having a circumference of 34pi Round to the nearest tenth. Use 3.14 for pi.
Answer:
the answer is 76.5
Step-by-step explanation:
Area formula= A= π r^2
Circumference formula= 2 π r
A holiday park is digging a swimming pool.
The volume of earth to be removed is 120m^3.
A mechanical digger can remove 0.15m^3 of earth with each scoop.
a) How many scoops will be needed to remove all the earth?
Please it’s urgent!
imagine paying attention in class
Find the perimeter of the figure to the nearest hundredth.
Answer: 90.75 mm
Step-by-step explanation:
Given
The radius of the hemisphere is 16 mm
length of the inclined sides are 20 mm
The perimeter of the figure is the sum of the length of two inclined sides and a semi-circle circumference
[tex]\Rightarrow \text{Perimeter P=}\dfrac{2\pi r}{2}+2\times 20\\\\\Rightarrow P=\pi \times 16+40\\\Rightarrow P=50.75+40\\\Rightarrow P=90.75\ mm[/tex]
Is the relationship linear,exponential, or neither ?
ANSWER:
B
Step-by-step explanation:
find a fraction or mixed number equivalent to each decimal.
13. 0.3333...
14. 0.050505...
15. 0.454545...
16. 0.045045...
17. 10.121212...
18. 3.9999...
Please help me asap
Answer:
13. 1/3
14. 1/20
15. 9/20
16. 9/200
17. 253/25
18. 39/10
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answer: 12
Work is provided in the image I attached
A bin of winter hats on clearance contains 6 green caps, 7 blue caps, and 9 red caps If you pick one without looking, what is the total number of outcomes? Answer: 1 Part B What is the probability that the cap will be green?
Answer:
Since it is the case of independent the answer will be 6/22
What is the diameter of a cone with height 8 m and volume 150 pi m3 ?
A. 7.5 m
B. 5V3 m
o C. 7.573 m
D. 15 m
Answer:
V = pi*r^2*h
V = 150 m^3
h = 8 m
150 = pi*r^2*8
Solve for r (the radius) then multiply by 2 to obtain the diameter.Only, this is a cone, not a cylinder.
V = 1/3 pi r^2 h
Diameter of the cone is 15 m. So, option D is correct.
What is meant by solid shape ?Solid shapes are defined as the three-dimensional objects that are described by the three dimensions length, breadth and height.
Here,
Volume of the cone is given by,
V = 150[tex]\pi[/tex] m³
Height of the cone, h = 8 m
We know, the equation for the volume of a cone is,
V = 1/3[tex]\pi[/tex]r²h
where r is the radius and h is the height of the cone.
So,
(1/3) [tex]\pi[/tex]r²h = 150[tex]\pi[/tex]
r²x 8 = 3 x 150 = 450
r² = 450/8
r² = 56.25
r = 7.5 m
Therefore, diameter of the cone,
d = 2r
d = 2 x 7.5
d = 15 m
Hence,
Diameter of the cone is 15 m.
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El valor numérico de la expresión 〖P(y)=y〗^2-7y+10 para y=2 es: a. P(2)=9 b. P(2)=0 c. P(2)=-2 d. P(2)=-5
Answer:
Opción b, P(2) = 0
Step-by-step explanation:
Tenemos la expresión:
P(y) = y^2 - 7*y + 10
Para encontrar el valor P(2), simplemente debemos remplazar todas las "y" en la expresión de arriba por el valor 2, asi obtenemos:
P(2) = 2^2 - 7*2 + 10 = 4 - 14 + 10 = (4 - 14) + 10 = -10 + 10 = 0
P(2) = 0
La opción correcta es b.