write an equation for an arithmic sequence such that t(3)=13 and t(12)=67 HELP ASAP

Answers

Answer 1

Answer:

  t(n) = 1 +6(n -1)

Step-by-step explanation:

The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...

  t(n) = t(1) +d(n -1)

__

Using the two given values  of n and t(n), we can find the unknown parameters.

  13 = t(3) = t(1) +d(3 -1) = t(1) +2d

  67 = t(12) = t(1) +d(12 -1) = t(1) +11d

Subtracting the first equation from the second, we get ...

  (67) -(13) = (t(1) +11d) -(t(1) +2d)

  54 = 9d . . . . simplify

  6 = d . . . . . . divide by 9

Substituting into the first equation gives ...

  13 = t(1) +2(6)

  1 = t(1) . . . . . . . . subtract 12

Using the found values in the equation for the sequence gives ...

  t(n) = 1 +6(n -1)


Related Questions

The volume of a square pyramid with a height of 12m is 100 m find the Length of the square base.

Answers

Volume of square Pyramid = a^2 * h/3
If we rearrange that equation to give a (length of square base)

a = (sqrt(3)* sqrt(V))/sqrt(h)
a = (sqrt(3)* sqrt(100))/sqrt(12)
a = 5m

Alexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m

Answers

The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.

How to calculate the distance?

From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.

In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.

Learn more about distance on:

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Do number 2 please. Please bots don’t answer! I just trying to get help :(

Answers

Answer:

no 2. cube a' will be smaller because it was multiplied by a fraction

no 3. c

i need help with this quick pls , please solve 5a​

Answers

Answer:

Step-by-step explanation:

If you use de morgan's laws to write out [tex]-(PvQ)[/tex], it returns -P ^ -Q

And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.

Does anybody know this ?

Answers

Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

Multiply each x value by 1/3 then add 2. Since the numerator is 1, you would multipy by one and divide by the denominator of 3, so you really need to divide each x value by 3 then add 2.

-6:

-6/3 = -2

-2 + 2 = 0

-3:

-3/3 = -1

-1 + 2 = 1

0:

0/3 = 0

0 + 2 = 2

3:

3/3 = 1

1 +2 = 3

6:

6/3 = 2

2 + 2 =4

Which of the following expressions are equivalent to -2(5 – 3)?
Choose all answers that apply:
A
-10 - 6
B
-10 + 6
None of the above
Peno
Sos

Answers

Answer:

It's B

-10 + 6

Step-by-step explanation:

Here, we gotta use the distributive property.

the -2 will distribute to the 5, which will make the -10

then, the -2 will also distribute to the -3 (the minus is the negative) which will make the 6

So, that should give you the -10 + 6, which is B

hope this helped :)

Answer:

[tex]\boxed{\sf{B.-10+6}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

→ -2(5-3)

Multiply.

→ -2*5=-10

→ -2*3=-6

Rewrite the problem down.

→ = -10+6

Therefore, the correct answer is B. -10+6.

I hope this helps you! Let me know if my answer is wrong or not.

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!

Answers

Answer:

c and d

Step-by-step explanation:

hope it helps bud

What is the solution of the inequality shown
below?
x-1 < -10

Answers

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

Bring like terms to one side

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

The solution is x < -9 or x is less than negative 9

What’s the scale factor? Quick

This is on ixl and I have to get at least a 90

Answers

Answer:

4

Step-by-step explanation:

We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.

y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points

Answers

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

See picture for full problem. Please and thank you so very much!

Answers

Answer:

Step-by-step explanation:

The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?

Answers

Answer:

C ≈81.64 inches

Step-by-step explanation:

Formula : C ≈ πd

Where:

C = circumference

π ≈ 3.14 {About}

d = diameter

As Given :

Wheel of a bike has a diameter of 26 inches.

Solution:

Note - Given that diameter = 26

π ≈ 3.14 {About}

C ≈ 3.14 (26)

C ≈ 81.64

Therefore the circumference of the wheel is 81.64 inches

Kavinsky

A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?

Answers

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

65 brainleiest! Can someone help?!

Answers

Answer:

m∡EFG = 139°, and m∡ IFH = 49°

Step-by-step explanation:

We know that vertical angles are congruent so we can say that

∡EFG ≅∡DFH and that ∡EFD≅∡GFH

Congruent angles have the same measure therefore

∡EFG = ∡DFH  = 6x+25 and

∡EFD = ∡GFH = 2x+3

Use that all those angles add up to 360° to find x

∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures

6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms

16x + 56 = 360, subtract 56 from both sides

16x = 304, divide both sides by 16

x = 19

m∡EFG = 6x +25 , substitute x with 19 and calculate

m∡EFG = 6·19 +25

m∡EFG = 139°

m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3

m∡ IFH = 90°- (2x +3), substitute x with 19

m∡ IFH = 90°- (2·19 +3)

m∡ IFH = 90°- 41

m∡ IFH = 49°

What is the area of the shape?

Answers

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

perform the indicated operation 7/2x-2/3x

Answers

Answer:

Ans: n−√5

Step-by-step explanation:

Tanya's father travels every week for business. He has traveled around the
world many times. Over the past 10 years, he has accumulated approximately
460,000 frequent flyer miles. How is that number expressed in scientific
notation?
A. 4.6 × 103
B. 4.6 × 10 ​​​​​​​4
C. 4.6 × 10 5
D. 46 × 10 ​​​​​​​5

Answers

The correct answer would be: 4.6 x 10^5

a) write 2 2/3 as an improper fraction in its simplest form.
B) work out 2 2/3 x5 give your anwser as an improper
fraction in its simplest form.

Answers

Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

[tex] = 2 \frac{2}{3} \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]

[tex] = \frac{8}{2} \\ [/tex]

[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]

[tex] = \frac{4}{1} = 4 \\ [/tex]

B) Work out 2 2/3 x5 give your anwser as an improper...

[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]

[tex] = \frac{8}{3} \times 5 \\ [/tex]

[tex] = \frac{40}{3} \\ [/tex]

a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?​

Answers

Answer:

225 men

This conversion leads to the answer:

30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 men

What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)

Answers

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°

Answers

Answer:

C. 76 degrees.

Step-by-step explanation:

n = 180 - 104

= 76.

Answer:

C

Step-by-step explanation:

a straight line is 180 degrees

so we can say that n is equal to 180 - 104

n is equal to 76 degrees

Please help me with algebra question will mark brainliest to first person with a real answer

Answers

Answer:

367/90

Step-by-step explanation:

As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.

A car traveled 1010 miles at an average speed of 3030 miles per hour
and then traveled the next 1010 miles at an average speed of 5050 miles
per hour. What was the average speed, in miles per hour, of the car for the
2020 miles?

Answers

The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Average speed

Average speed v = d/t where

d = total distance and t = total time

Making t subject of the formula, we have

t = d/v

Time to cover first 10 miles

Now when the car travels 10 miles at an average speed of 30 miles per hour,

d = 10 mi and v = 30 mph.

So, t = d/v

= 10/30

= 1/3 h

Time to cover next 10 miles

Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,

d' = 10 mi and v' = 50 mph.

So, t' = d'/v'

= 10/50

= 1/5 h

Time to cover 20 miles

The total time for the 20 miles is T = t + t'

= 1/3 h + 1/5 h

= (5 + 3)/15 h

= 8/15 h

Average speed for 20 miles

So, the average speed for the 20 miles is v = D/T where

D = 20 miles and T = 8/15 h.

So, v = D/T

v = 20 mi ÷ 8/15 h

v = 20 × 15 mi/8 h

v = 2.5 × 15 mi/h

v = 37.5 mph

So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph

Learn more about average speed here:

https://brainly.com/question/24739297

is 627 divisible by 3

Answers

Answer:

yes.

Step-by-step explanation:

If you divide 627 by 3, you get 209 which is a whole number.

Hope this helped! Have a nice day!
Please give Brainliest when you can!

-Jaron

Answer:

technically speaking, yes. but if you don't want any remainders, (or decimals) then no.

Step-by-step explanation:

7 isnt divisable by anything, unless you have remanders or decimals, fractions ext. so yeah.

if a-1/a=5 then find the value of a square +1/asquare​

Answers

Answer:

3

Step-by-step explanation:

Calculating a

a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4

Substitute in the 2nd equation

a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23

Pleaseeeeee helppp!!!!! Will mark brainliest!!

Answers

Answer:

the first one (3x-2)(2x-3)

The answer is 1,2 and 5 are factored
4 is not factored because it can be factored by y

The difference of x and a number is 6. What is the other number?

Answers

Answer:

Answer: The other number is y = x + 6.

Step-by-step explanation:


This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.

What is the area of the rectangle?
( ) square millimeters

What is the area of the triangle?
( )square millimeters


Answers

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

What is an area?

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²

Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

Find out more on area at: https://brainly.com/question/25292087

How tall is this building?

Answers

Answer:

The building is 86.6 m tall.

Step-by-step explanation:

Coh Cah Toa

Coh: sin(theta) = Opp/Hyp

Cah: cos(theta) = Adj/Hyp

Toa: tan(theta) = Opp/Adj

Using Toa.

tan(theta) = Opp/Adj

tan(60°) = x/50

x = 50 * tan(60°)

x = 50 * √(3)

x ≈ 86.60254038

x = 86.6 m

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