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
Svet_ta [14]
3 years ago
7

Find the tenth term in each sequence. -1,2/3,7/3,4,17/3

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

It'a an arithmetic sequence:

a_1=-1\\\\a_2=-1+\dfrac{5}{3}=-\dfrac{3}{3}+\dfrac{5}{3}=\dfrac{2}{3}\\\\a_3=\dfrac{2}{3}+\dfrac{5}{3}=\dfrac{7}{3}\\\\a_4=\dfrac{7}{3}+\dfrac{5}{3}=\dfrac{12}{3}=4\\\\a_5=4+\dfrac{5}{3}=\dfrac{12}{3}+\dfrac{5}{3}=\dfrac{17}{3}\\\vdots\\\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=-1\ \text{and}\ d=\dfrac{5}{3}.\\\\\text{Substitute}\\\\a_n=-1+(n-1)\left(\dfrac{5}{3}\right)=-1+\dfrac{5}{3}n-\dfrac{5}{3}=\dfrac{5}{3}n-\dfrac{3}{3}-\dfrac{5}{3}

\boxed{a_n=\dfrac{5}{3}n-\dfrac{8}{3}}

You might be interested in
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.80 per hour. The film clu
garri49 [273]

Answer:

5 hours

Step-by-step explanation:

$39 + $5.8*t < $73.80

To solve it, collect the constant terms on the right side:

5.8*t < $73.80 - $39 = $34.08

t < $34.08 divided by 5.8 = 5 hours.

Idk if this is correct, I had a question like this on a test and this is what I did. So plz don't be mad if it's wrong.

4 0
3 years ago
If XYZ ∼ LPN, what are the measures of the angles of XYZ
mash [69]

Answer: X = 62°, Y = 68°, Z = 50°

Step-by-step explanation:

From the given picture, the angles of Δ LPN are ∠L= 62° and ∠ N = 50°

By angle sum property of triangle ,

∠P=180°-(62°+50°)

⇒∠P=180°-112°

⇒∠P=68°

Hence, ∠P=68°

Since, ΔXYZ ∼ ΔLPN [given]

Also, the corresponding angles of similar triangle are equal.

Therefore,  ∠L=∠X 62° , ∠P=∠Y=68° and ∠ N =∠Z= 50°

7 0
4 years ago
Read 2 more answers
Which expression is not a polynomial
icang [17]

Hello from MrBillDoesMath!

Answer:

The last choice x^2 - x^(1/2) + 2

Discussion:

The last choice x^2 - x^(1/2) + 2 is NOT a polynomial because of the sqrt(x) term

Thank you,

MrB

8 0
4 years ago
Read 2 more answers
7/4 divided by 3/2 reduced​
Mamont248 [21]

Answer:

Step-by-step explanation:

7/4 x 2/3= 7/2 x 1/3= 7/6 = 1 1/6

7 0
4 years ago
Read 2 more answers
How many of each type of bill ($1, $5, $10, $20) is in the cash register?
lara31 [8.8K]

Answer:

I dont know

Step-by-step explanation:

pls give more context

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following statements is false regarding randomization?
    5·1 answer
  • What is the positive square root of 0.81? Enter your answer in the box.
    8·2 answers
  • -11=a+7 dolce equation
    5·2 answers
  • Please choose answer choice a,b,c or d
    14·1 answer
  • What is the percent of increase from 800,000 to 1,000,000?<br> (make sure to write the percent sign)
    15·1 answer
  • What are three ratios equal to 5/40
    7·1 answer
  • Which set of side lengths create a right triangle ?
    5·1 answer
  • please help me with this :( I did the first one and I’m confused on the others I’ll mark u brainliest
    5·1 answer
  • Un panadero usó 1/2 de libra de harina para elaborar un pan, 1/4 de libra para hacer rosquillas y 1/3 de libra de harina para ha
    6·1 answer
  • Which of the following statements does not describe the structure of an atom?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!