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
Harlamova29_29 [7]
2 years ago
15

An arithmetic sequence has a common difference of 5 and the 3rd term is 15. What is the 5th term?

Mathematics
1 answer:
trapecia [35]2 years ago
3 0

Answer:

an=8n−14

Step-by-step explanation:

for an AP

where

a

1

=

the first term

d

=

the common difference

then we have

a

1

,

(

a

1

+

d

)

,

(

a

1

+

2

d

)

,

...

,

a

1

+

(

(

n

−

1

)

d

)

,

.

.

we are given the third term

10

=

a

1

+

2

d

−

−

(

1

)

and the fifth term

26

=

a

1

+

4

d

−

−

(

2

)

subtract

(

2

)

−

(

1

)

16

=

2

d

⇒

d

=

8

sub into

(

1

)

10

=

a

1

+

2

×

8

⇒

a

1

=

−

6

so the nth term

a

n

=

a

+

(

n

−

1

)

will be

a

n

=

−

6

+

8

(

n

−

1

)

a

n

=

8

n

−

14

You might be interested in
What is the value of x in the proportion below? 8/72 = x/36
barxatty [35]

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

3 0
3 years ago
Read 2 more answers
-3 divided by 1/6 = <br> 1. 18<br> 2. -18<br> 3. -2<br> 4. -1/2
dedylja [7]

Answer:

-18

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need to know the answer and how to solve it
almond37 [142]

Hey! The answer is in the attachment.

Source : Done from 'My Paint'

6 0
3 years ago
En la biblioteca hay 400 libros. Si el 25% son de matemáticas. Cuantos libros de matemáticas hay?
Romashka [77]

Answer:

100.

Step-by-step explanation:

25%*400

=100

¡Espero que esto haya ayudado!

3 0
3 years ago
Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the
MrMuchimi

Answer:

$45.34

hope this helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • Rosa has 3 3/4 pounds of dough. She uses 3/4 of a pound for one medium loaf of bread. How many medium loaves of bread could be m
    6·1 answer
  • on a map 1 inch equals 15 miles. if two cities are 4.5 inches apart on the map , how far are they actually apart
    6·1 answer
  • Determine whether each of the following statements is true or false. a. The least-squares regression line is the line that makes
    13·1 answer
  • Find<br>the<br>equation<br>of<br>the<br>inverse<br>of the<br>following<br>functions y= -x/4<br>​
    5·1 answer
  • Answer!!!!!! Please!!!!!!
    15·2 answers
  • The radius of a circle is 5 m. Find its area to the nearest tenth.
    5·1 answer
  • Calculate the slope of the line​
    11·1 answer
  • You deposit $800 in an account. The account earns $360 simple interest in 3 years. What is the annual interest rate?
    6·1 answer
  • 2(4z−1)=3(z+2)<br> How do you solve this? Plz show step-by-step
    12·2 answers
  • 1. Is triangle P’Q’R larger or smaller than triangle PQR? Explain how you know
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!