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
Please help finals are tomorrow
Bogdan [553]
ΔQTR and ΔSTP are similar triangles. The corresponding sides of similar triangles are the same length.
TR = PT
TS = QT

Input the algebraic expression to make an equation system
PT = TR
y = 2x - 1 <em>(first equation)</em>

TS = QT
6x + 13 = 5y
6x - 5y = -13  <span><em>(second equation)</em>

</span>Using subtitution method, subtitute y with 2x - 1 from first equation into the second equation, to find the value of x
6x - 5y = -13
6x - 5(2x - 1) = 13
6x - 10x + 5 = 13
-4x + 5 = 13
-4x = 13 - 5
-4x = 8
  x = 8/-4
  x = -2

Find y with subtituting x with -2 in the first equation
y = 2x - 1
y = 2(-2) - 1
y = -4 - 1
y = -5

Answer:
x = -2
y = -5
6 0
3 years ago
Can someone help me please ?
Alex Ar [27]

Answer:

V= 40.9

Step-by-step explanation:

the top and the bottom side both equal 26.2, if you multiply that number by 2 (Because 2 sides have that same number) you get 52.4. The next step is to take the total perimeter which is 134.2, and subtract 52.4 which brings you to 81.8. Then you divide 81.8 by 2 to get your final answer of 40.9, which is the value of V. Hope this helps!

6 0
3 years ago
Is y=(x+3)^3 a function?
disa [49]

Answer: Yes

Step-by-step explanation:

3 0
3 years ago
What is 1+ 25372 +62719+ 82837?
Lynna [10]

Answer:

170929

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Mia tossed a penny, a nickel, and a dime. Which is a complete tree diagram for all possible outcomes, where H represents heads a
Novay_Z [31]

Mia tossed a penny,a nickel and a dime all possible outcomes of H is the answer C.

Step-by-step explanation:

  • The two possible outcomes for penny,nickel and dime is H & T.
  • H is for head T is for tail.
  • Let A {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
  • Tossing a fair coin will give the above result.
  • S is the called the n number of outcomes that are available for a set.
  • Total outcome of Sample space 8.
  • The three diagram is like a game theory it exploits different outcome.
8 0
3 years ago
Other questions:
  • The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
    6·2 answers
  • Let ∠X and ∠Y be complementary. If sin(X) = 3 5 and cos(X) = 4 5 , then what is the value of sin(Y)?
    7·1 answer
  • Rosy waxes 2/3 of her car with 1/4 bottle of wax. At this rate, what fraction of the bottle of car wax will Rosy use to wax her
    10·1 answer
  • Pls help, it's 20 points<br><br> OA bisects measure of (a) 23<br> (b) 75<br> (c) 78.5<br> (d) 157
    13·1 answer
  • Brainliest for whoever answers this correctly
    6·1 answer
  • one side of a rectangle is 4cm shorter than three times the other side, find the side lengths if the area is 319
    12·1 answer
  • Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. If the temperature is 50 degrees Fahrenheit, wha
    9·2 answers
  • You roll a number cube one time
    15·1 answer
  • Using the following table, what is the correct equation?
    5·1 answer
  • HELP ASAP INCLUDE WORK I WILL MARK BRAINLIEST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!