The fifth term of an arithmetic sequence is 23 and the 12th term is 72? Determine the first three terms of the sequence and the nth term​

Answers

Answer 1

Answer:

the first term is a1

the distance between the numbers is d

we have:

a5 = a1 + 4d = 23

a12 = a1 + 11d = 72

so we have the equation:

a1 + 4d = 23

a1 + 11d = 72

=> a1 = -5

d = 7

=> an = -5 + 7(n - 1) = 7n - 12

with an = 7n - 12

=> a2 = 2

a3 = 9

so the first three terms is -5; 2; 9


Related Questions

2
What is the area, in square centimeters, of the figure below?
2.4 cm
-5.8 cm
A 6.96
B) 10.6
C 13.92
2
D 17.4.

Answers

Answer:

area of rectangle=l×b=2.4×5.8=13.92cm²

The right answer is letter C

hi I'm really in 5y
the grade elementary and the question is four fiths of a spinach casserole is leftover after Sam has lunch Jackie and Alicia each take 1/2 of the left over casserole jack eats only 2/3 of her portion what fraction of a whole casserole did jackie eat express our answer as a simplified fraction​

Answers

Answer:

0.6

Step-by-step explanation:

2/5 divided by 2/3

use reciprocal method

and make it 2/5*3/2

6/10

Translate the folowing sentence into a equation. The quotient of a number and -2, less 10, is-18

Answers

Answer:

x + (-2) - 10 = -18

Step-by-step explanation:

What is the area of this parallelogram?

Answers

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

Please help me. I will give Brainliest

Answers

Answer:

I don't know the answer

Step-by-step explanation:

sorry for that

Answer:

d

Step-by-step explanation:

Write a function rule for the following geometric sequence.

4, 12, 36, 108,...when x = 0, 1, 2, 3....

A) f(x) = 3x + 4
B) f(x) = 4x + 3
C) f(x) = 4(3)x
D) f(x) = 3(4)x

Answers

I think it f(x) = 3x + 4 if I am wrong I am so so sorry have a great day.

A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X: number of defects 0 1 2 3 P(x) 0.61 0.21 0.11 0.07 Find the expected number of appearance defects in a new car. Do not round.

Answers

Answer:

The expected number of appearance defects in a new car is 0.64.

Step-by-step explanation:

To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.

We have that:

0.61 probability of 0 defects

0.21 probability of 1 defect

0.11 probability of 2 defects

0.07 probability of 3 defects

0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64

The expected number of appearance defects in a new car is 0.64.

The distance from Josh's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Josh or Meg? Use numbers and words to explain your answer.

Answers

Answer:

12

Step-by-step explanation:

URGENT! Please answer

Answers

Just solve for each side

Find the length marked x in the diagram below

Answers

Answer:

x = 5.57

Step-by-step explanation:

= √8² + 7²

= √64 + 49

= √113

= 10.63

x = √12² - 10.63²

x = √144 - 112.99

x = √31.01

x = 5.568

x = 5.57

Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?

Answers

Answer:

Keith can plant 10 bushes in 2 hours

Step-by-step explanation:

40 divided by 8 is 5 and 5 times 2 is 10.

Jason wants to eam money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns?

Answers

Answer:

$90 profit

Step-by-step explanation:

in the figure below, what is the measure of RST​

Answers

Answer:

44

Step-by-step explanation:

180-96=84

180-128=52

52+84=136

180-136=44

y-4=-3(x-3) in standard form
show ur work​

Answers

Answer: y-4=-3(x-3) in standard form is - 3x+y=13

Step-by-step explanation:

Hope this helps!

Answer:

3x+y=13 hope this helps dont have the work:)

Find the value of the power.
(1/8)^3 =

Answers

Answer:

1/512 or 1/8^3

Step-by-step explanation:

Please help please please

Answers

Answer:

4

Step-by-step explanation:

[tex] \frac{ {7}^{7} }{ {7}^{3} } = {7}^{7 - 3} = {7}^{4} [/tex]


In the figure shown, APQR-ADFE
Р
X + 6
6
X + 1
4
Q
x + 3
R
E
X + 8
F
Which equation can be used to find the value of x?
AX+1= 6
B x + 3 = 6
С
X-1
6
x+6
0.x= = *=3

Answers

Answer:

The second one

Step-by-step explanation:

if you do the math you can see that the value of x is the second one. I got it right on edge

can i get a OHHHHHH YEAHHHH

Answers

Answer:

AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH

Step-by-step explanation:

Answer:

OH YEAHHHH

Step-by-step explanation:

lol

PLS HELP GIVING BRAILESS TO FIRST PERSON PLS HELP ASAP

Answers

It’s b and c if it’s optional

5.2÷____= 0.052 please help meh :(

Answers

Answer:

The answer is 0.01 because 0.052=520   0.052 divided by 5.2=0.01

Step-by-step explanation:

Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7

Answers

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

What is an Exponential Equation?

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

To know more about Exponential Equation

https://brainly.com/question/23729449

#SPJ5

Pls help me do you know the answer let me know

Answers

Answer:

Are you telling us to answer it all?

Step-by-step explanation:

Answer:

I'm so sorry I have no idea seems so so complicated

Step-by-step explanation:

But I think you would need a specific equation for it and substitute numbers in it.

Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST ​

Answers

Answer:

The answer is 384.85 yd       to the power of 3

Step-by-step explanation:

πr2h

=  π×3.52×10

=  122.5π

=  384.85

The volume of the given cylinder would be 384.65 cubic yards.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Where -

R - Radius of the cylinder

h - height of the cylinder

Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.

For the given cylinder, we have -

Radius of the cylinder : 7/2 = 3.5 yd

Height of the cylinder : 10 yd

So, we can write the volume of the cylinder as -

V = πR²h

V = 3.14 x 3.5 x 3.5 x 10

V = 384.65 cubic yards

Therefore, the volume of the given cylinder would be 384.65 cubic yards.

To solve more questions on cylinders, visit the link below-

https://brainly.com/question/16134180

#SPJ2

uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?

Answers

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

Evaluate the expression for the given value of x.
0.2x + 5.1 for x = -3

Answers

4.5
Step by step: first 0.2x +5.1 for x=-3
If x=-3 , you gone put 0.2•-3 +5.1
•(means times) but that’s how you get 4.5

Fifteen less than twice a number is 21.
What is the missing number? |

Answers

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean  or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

Hello!

First of all, let the number be r.

"twice a number" means we multiply that number by 2:

2r

Subtract 15 (fifteen less)

2r-15

This is equal to 21:

2r-15=21

[tex]\rule{160}{2}[/tex]

Solve the equation:

2r=21+15

2r=36

Divide both sides by 2:

r=18

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

[tex]\rule{2}{2}~\bf{An~Emotional~Helper}~\rule{2}{2}}[/tex]

An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can send/receive 120 fax pages at no additional cost. For each page sent or received past the 120 page limit, the customer must pay an overage fee of $0.08 per page. The following expression gives the total cost, in dollars, to send p pages beyond the plan's monthly limit.

C= 0.06p + 12.75

Required:
If the monthly bill under this plan comes out to be $16.47, what was the total number of pages that were sent or received?

Answers

Answer:

62 pages

Step-by-step explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages


Which is equivalent to 243 2/4
O 3
O 6
O9
O 12

Answers

the answer is 9 because......

Determine the value of the missing sides for the following triangle

Answers

Answer:

There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.

Step-by-step explanation:

For missing sides of a triangle we do the following.

Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.

Are the measure of the lengths congruent with a larger or smaller triangle shown.

If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5

Other ways to find length is through Pythagoras  we use the squares a^2 + b^2 = c^2 for missing slant

and c^2 - b^2 = a^2 for any missing side

so a represents any missing side for the second equation and c represents the missing side if it is a slant only.

 

A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?

Answers

Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

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