Mathematics High School

2. a) Write the next two terms of the following sequence and write the rule. ( /3)

11, 15, 19, 23, 27, ______, ______

Rule: ___________________________________________________


b) Write an example of a Fibonacci sequence.

__________________________________________________________ no wronge ans or report

Answers

Answer 1

Answer:

See answers below

Step-by-step explanation:

Given the sequence

11, 15, 19, 23, 27, ______, ______

nth term is expressed as Tn = a +(n-1)d

a= 11

d = 15-11 = 19-15 = 4

n = 6 and 7

for the sixth term,

T6 = 11 +5d

T6 = 11 + 5(4)

T6 = 20

for the 7th term,

T7 = 11 +6d

T7 = 11 + 6(4)

T7 = 11+24

T7 = 35

Rule used Tn = a + (n-1)d

b) Example of a Fibonacci sequence is 1,1, 2, 3, 5, 8, 11...

The sum of the two previous term of a Fibonacci sequence gives the next term. That is how the sequence was constructed

Related Questions

Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes. Give your answer in hours and minutes.

Answers

Answer:

1 Hour and 20 minutes

Step-by-step explanation:

Time = Distance ÷ Speed

The total time taken by Andy is (1.25 + 1.5) 2.75 hrs or 165 minutes and this can be determined by using the formula of speed.

Given :

Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.

The formula of speed is used to determine the time taken by Andy to cover the total distance. The formula of speed is given by:

[tex]\rm s = \dfrac{D}{t}[/tex]

where 's' is the speed, 'D' is the distance and 't' is the time.

Now, the time taken by Andy to cover the distance of 30 Km with the speed of 24 Km/hr is:

[tex]\rm 24 = \dfrac{30}{t}[/tex]

[tex]t = \dfrac{30}{24}[/tex]

t = 1.25 hrs.

Now, the time taken by Andy to cover the distance of 12 Km with the speed of 8 Km/hr is:

[tex]\rm 8 = \dfrac{12}{t}[/tex]

[tex]t = \dfrac{12}{8}[/tex]

t = 1.5 hours.

So, the total time taken by Andy is (1.25 + 1.5) 2.75 hrs or 165 minutes.

For more information, refer to the link given below:

https://brainly.com/question/17661499

need help ASAP.
what is the best estimate for the value of the expression?
​

Answers

Answer:

11

Step-by-step explanation:

u do 4x5 which is 20

3(6x+8)=24+18x what the answer

Answers

18x+24=24+18x they are equivalent equations

Answer:

0=0 or as known as infinite solution

Step-by-step explanation:

when answering a type of question there are 3 steps

1) Distribute: 3(6x+8)=24+18x

3 x 6x= 18x 3 x 8= 24

18x +24 = 24 + 18x

2) Subtract 24 from both sides of the equation:

18x + 24 = 24 + 18x

-24 -24

18x + 0 = 0 + 18x

3) Subtract 18x from both sides to set apart (x) : 18x = 18x

-18x -18x = 0 = 0

what is equivalent to 10x + 80
A) 5(2x + 40) B) 10(x + 8) C) 5(2x + 80) D) 10(10x + 8)

Answers

Answer:B ithink

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

10(x + 8)

10x + 80

10× X and 10 × 8

Brandon’s factory produces 832 containers per hour on the first production line. After maintenance is completed on the first production line, the factory is able to produce 1102 containers per hour. By what approximate percent did the maintenance increase production? (Round your answer to the nearest whole percent.)

Answers

Answer:

270

Step-by-step explanation:

1102-832

Answer is 270 step by step


Rob is
former . His form is 150m wide and
250m long. He wants to install a fence
his form. How much it will cost him if the cost per meter
is $3.00?​

Answers

It will cost around 30.00 dollars

PLEASE ANSWER FAST HAVE TO FINISH TEST BY THE END OF THE DAY:

If Micah took out a $5000 loan on a 6-year payment plan and was charged 5% simple interest per year, what is the total amount he would have to pay back (I = Prt)​

Answers

Step-by-step explanation:

0.05*6=0.3*5000=1500

There are 15 neon tetras and 12 betta fish in a fish tank. What is the ratio of betta fish to the total number of fish? Write the ratio on simplest form.
hint Read the question very carefully, notice the phrase "total number of fish"
need help

Answers

Answer:

12:27

Step-by-step explanation:

Evaluate f(a+2)for f(x)=x^2-9

Answers

Answer:

a^2 + 4a -5

Step-by-step explanation:

(a+2)^2-9

((a+2)^2) - (9)

a^2+4a+4-9

a^2 + 4a -5

XZW XYV find the perimeter of XZW?

PLS HELP

Answers

9514 1404 393

Answer:

  180 units

Step-by-step explanation:

The perimeter of ∆XYV is ...

  Pxyv = XY +YV +VX

  Pxyv = 29 +31 +40 = 100

The triangles are similar, so the scale factor from ∆XYV to ∆XZW applies to the perimeter. That scale factor is ...

  WX/VX = (32+40)/40 = 1.8

Then ...

  Pxzw = 1.8 × Pxyv = 1.8 × 100

  Pxzw = 180 . . . units

Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)

Answers

it has one solution

perform the operation and write the answer fully 3/7 / 4/5​

Answers

Answer:

here is da answer 4 ur quest

Find the value of x. *

Answers

Answer:

x=45

Step-by-step explanation:

Can someone help me... What is the answer

Answers

z = 2y

Step-by-step explanation:

[tex] x = 2y[/tex]..... (given)

[tex] z = x[/tex]... (exterior alternate angles)

[tex] z = 2y[/tex]

Math multiple no calculator show work

Answers

Answer:

Step-by-step explanation:

8*9   and then  [tex]10^{5-11}[/tex]

72 * [tex]10^{-6}[/tex]

i need help with this question​

Answers

Answer:

Step-by-step explanation:

It would be 21/16


Explanation:

7/12 divide 4/9

To divide by a fraction, multiply by the reciprocal of that fraction

7/12 multiply 9/4

To multiply the fractions, multiply the numerators and denominators separately

7 x 9 / 12 x 4

Reduce the fraction with

7 x 3 / 4 x 4

Multiply the numbers

21/4 x 4

Answer : 21/16

interest rate helppppppp

Answers

Answer:

It is : (5%)

Step-by-step explanation:

[tex]i = prt \\ 60 = 600 \times r \times 2 \\ r = \frac{60}{1200} \\ r = 0.05 \\ r = 5\%[/tex]

I hope that is useful for you

Find the total surface area

Answers

Answer:

kis ka nikalna hai bhai koi shap to hoga

Help. “Write the equation of the line in fully simplified slope-intercept
form.

Answers

Answer:

Y= -2/3x-8

Step-by-step explanation:

what’s the difference between the expansion of (-2x)^2 and -2x^2

Answers

Answer:

the one in parenthesis means you have to multiply the Pareinthasis first while the one wi5hout it dose not matter of in order

• 1.Find the scale factor of a blueprint if the scale is 3 inches = 6 feet. A. 1/2 B. 1/24 C. 1/3 D. 1/72

Answers

Answer:

B. 1/24

Step-by-step explanation:

Given: 3 inches = 6 feet

Convert 6 feet into inches.

6 feet = 72 inches

3/72. Simplying it, you get 1/24

jerry is making a rectangular banner for school . The dimensions of the banner are 1 1/2 yards by 1 3/4 yards What is the area of the the banner ? equation : solution :

Answers

Answer:

21/8 or 2.625 or 2 5/8 m/cm^2

Step-by-step explanation:

Area of a rectangle=L×B

= 3/2×7/4

=21/8

= 2 5/8 m/cm^2

Terrance used this expression to find the final price, in dollars, of a hat that is discounted 30% off the original price of $20

Answers

Answer:

20-0.7

Step-by-step explanation:

Answer:

20-0.7

Step-by-step explanation:

Write the equation of the line that passes through the points (-7, -4) and (-8,2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Y = -6x-46 is the answer.

HELP PLEASE WILL MARK BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

6 to the 16 power

i need lots of help with 15 18 19 20 pls pls pls

Answers

Answer:

15) x = 112

18) x = 120

19) x = 31

20) x = 65

Step-by-step explanation:

I hope that is useful for you :)

Find the total surface area of the net below​

Answers

Answer:

70.2

Step-by-step explanation:

gina's bill at a restaurant was 120.90 . how much will she tip the waiter if she is giving them a 30% tip? she will tip _____________ dollars

what is gina's new tip bill , incluiding the tip now?

Answers

Answer:

the tip=$36.27

new bill=$157.17

Step-by-step explanation:

Answer:

Tip amount: $36.27

Total cost: $157.17

Step-by-step explanation:

Please see attachment. Calculations are executed in black. Explanations are provided in green. Solutions are highlighted in blue.

~~

Hope this helps!


15. In a class if 75% of students own a bicycle, then percent of the students
do not have bicycles is???

Answers

Answer:

100%-75%= 25%

Step-by-step explanation:

100%= whole class

75%=students that own a bicycle

25%=students that do not have a bicycle

alina bought an ice cream cone for $3. her 4 ounce scope of ice cream is melting at rate of 0.5
​

Answers

Answer:

y=4-0.5x

Step-by-step explanation:

Step one:

given data

Alina bought an ice cream cone for $3

the weight of the ice cream is 4 ounce

the rate of melting is 0.5 ounce per minute

let the number of minutes taken for the ice cream to melt be x

and the weight after x minutes be y

Step two:

Hence the expression for the situation after x minutes is

y=4-0.5x

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