1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
10

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
A_{n}=A_{1}+(n-1)d

A_{n} is the "n-th" number in the sequence (ex:  is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so A_{1}=47
<span>d=-2 because the question gives you that
</span>
A_{n}=A_{1}+(n-1)d
<span>A_{29}=47+(29-1)(-2)
</span><span>A_{29}=47+(28)(-2)
</span><span>A_{29}=47+-56
</span><span>A_{29}=-9
</span>
The answer is A. -9.

<u>                                                       </u>

<span>The answer is C. 158</span>

For the second one, it gives you A_{1}=4 and <span>A_{}=18
You can use this to find d

</span><span>A_{n}=A_{1}+(n-1)d
</span><span>A_{3}=4+(3-1)d
</span><span>18=4+(3-1)d
</span><span>18=4+2d
</span><span>14=2d
</span><span>7=d
</span>
Now you can just solve using the equation normally.
<span>A_{n}=A_{1}+(n-1)d
</span><span>A_{23}=4+(23-1)(7)
</span><span>A_{23}=4+(22)(7)
</span><span>A_{23}=4+154
</span><span>A_{23}=158
</span>
The answer is C. 158
Aleks04 [339]3 years ago
8 0
The equation for the nth term of an arythmetic sequence is
an=a1+(n-1)d
an=nth term
a1=first term
n=n from the nth term
d=commno differnce


common difference is -2 and fist term is 47
what is n=29?
an=47+(n-1)(-2)
a29=47+(29-1)(-2)
a29=47+(28)(-2)
a29=47-56
a29=-9

answer is A


first erm is 4
third is 18
means
a1=4
a3=18
a3=a1+(3-1)d
a3=18=4+(3-1)d
18=4+(n-1)d
minus 4 both sides
14=(3-1)d
14=(2)d
divide both sides by 2
7=d
an=4+(n-1)7
what is 23th term
a23=4+(23-1)7
a23=4+(22)7
a23=4+154
a23=158

C


answers are A and C
You might be interested in
Margie received her store order on 12/3/16 at 4AM. She just opened one of the
Cerrena [4.2K]

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

8 0
3 years ago
Triangles A B C and X Y Z are shown. Which would prove that ΔABC ~ ΔXYZ? Select two options. StartFraction B A Over Y X = StartF
sergejj [24]

Answer: Answer is 3

BC        6

------ = ------

XY         3

Step-by-step explanation:

The statements below can be used to prove that the triangles are similar.

On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.  

A B Over X Y = 4 Over 2

?  

A C Over X Z = 52 Over 13  

△ABC ~ △XYZ by the SSS similarity theorem.

Which mathematical statement is missing?

1.   Y Z Over B C = 6 Over 3  

2.  ∠B ≅ ∠Y

3.  B C Over Y Z = 6 Over 3  

4.  ∠B ≅ ∠Z

5 0
3 years ago
Read 2 more answers
What would (10x^2+8xy-20)-(2x^2+3xy+5) equal??
SSSSS [86.1K]
<h2><em><u>Hope</u></em><em><u> </u></em><em><u>t</u></em><em><u>h</u></em><em><u>i</u></em><em><u>s</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em></h2>

5 0
3 years ago
4t−3&gt;37t−50<br><br> please help meh
m_a_m_a [10]
Here is the answer for questions like this you can use photo math for a simple fast way to do this math

8 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (4, 10)(4,10) and (1, 10) ?(1,10)? Write your answer in simplest fo
ikadub [295]

Answer:

0

Step-by-step explanation:

Slope = Δy/Δx

Slope = 10-10/4-1

Slope = 0/3

Slope = 0

It is a Horizontal Line

-Chetan K

6 0
2 years ago
Other questions:
  • X<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%287%5Csqrt%7B3%7D%20%29%5E%7B2%7D%20%3D%282x%29%5E%7B2%7D" id="TexFormula1"
    9·1 answer
  • Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).
    10·1 answer
  • Solve for X. I’m bad at geometry please help me
    11·1 answer
  • If box a has a volume of 24 and box b is similar to box a. Box b is created by multiplying box a's dimensions by 4. What is the
    13·1 answer
  • Could you sub to me to help me out? It’s Vizion Ryze. I have 137 subs right now.
    8·1 answer
  • Which expressions are equivalent to
    14·1 answer
  • Find the sum and Express it in simplest form. (u^3+3u^2+3) + (-6u^3-8u^2)
    5·1 answer
  • Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
    11·1 answer
  • What is the distance from (3.5 ,5) to (3.5, -12)<br> 17<br> 7
    13·1 answer
  • The midpoint of CD is (-3,4) and one endpoint is (2,5). What is the coordinate of the other
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!