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
Aleonysh [2.5K]
2 years ago
5

Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18

Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

You might be interested in
82 tens is the same as what?
Feliz [49]
82 tens in the same thing as 820 because if you multiply 82 by 10 you get 820
8 0
3 years ago
Read 2 more answers
I need help someone pleace
Galina-37 [17]

Answer:

just rate this 5 stars so i can get 10 points

Step-by-step explanation:

type

8 0
3 years ago
6=1-2n+5 can you please solve it
stepan [7]

Answer:

n = 0

Step-by-step explanation:

6 = 1 - 2n + 5

6 = 6 -2n

0 = -2n

n = 0

3 0
3 years ago
Read 2 more answers
Help no one is answering this if u answer I will give 100 points
cupoosta [38]

Answer:

14.1

Step-by-step explanation:

v = \frac{4}{3} \pi (1.5)^{2}\\ \\v = 14.1

7 0
3 years ago
Read 2 more answers
If Sally walked 1⁄2 mile in 1⁄4 hour, how fast was she walking measured in miles per hour?
yan [13]
The correct answer is 2 miles per hour
4 0
3 years ago
Other questions:
  • 9p+8=10p+7 is this equation open or false?
    12·2 answers
  • What is the square root of 49
    6·2 answers
  • How do you do number 7
    14·1 answer
  • What is 648 divided by 8
    7·1 answer
  • An angle t is drawn from the center of the unit circle. Find a formula in terms of t for the straight line distance d between th
    13·1 answer
  • Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cy
    15·1 answer
  • What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?
    11·1 answer
  • Diane has been keeping an eye on an emerald ring she likes. Its original price was $22,090. After being marked down for a cleara
    6·1 answer
  • Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
    12·1 answer
  • You deposit $4500 in an account that earns 2% per year simple interest. The
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!