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
ehidna [41]
2 years ago
7

The third term in an arithmetic sequence is 14 and the fifth term is 20. If the first term is a1, which is an equation for the n

th term of this sequence?
Mathematics
1 answer:
Kruka [31]2 years ago
5 0

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

You might be interested in
the dot plots how the salaries for the employees at two small companies before a new company head is hired at each company. Sele
leonid [27]

Answer:

I need a picture to solve this.

Step-by-step explanation:

4 0
3 years ago
Which of the following is a factor of 2x3 – 2?
Ilya [14]
I hope this helps you

8 0
2 years ago
Read 2 more answers
How many stamps that are 1.5 inches long and 1.5 inches wide will fit on a piece of paper that is 9 inches wide and one foot lon
Soloha48 [4]
Divide the paper which is 21 inches (12+9) by 1.5 and you have your answer which is 14

4 0
3 years ago
What is the property of 6x=72?
Andreyy89

Addition and multiplication are commutative property so that mean no.

In this case, you have to do division.

Your answer is 6x = 72

x = 12

Hope this helps :)

7 0
3 years ago
Read 2 more answers
If line A contains the points (3, -4) and (6, -2), and line B contains the points (-1, 5) and (1, 2), prove that the lines are p
vivado [14]

Answer:

Correct answer:  sa · sb = 2/3 · (- 3/2) = - 1

Step-by-step explanation:

Given:

line A - (x₁, y₁) = (3, -4)   and (x₂, y₂) = (6, -2)

line B - (x₁, y₁) = (-1, 5)   and (x₂, y₂) = (1, 2)

The slope is calculated using the following formula:

s = (y₂ - y₁) / (x₂ - x₁)

sa = (-2 - (-4)) / (6 - 3) = (-2 + 4) / 3 = 2 / 3

sa = 2 / 3

sb = (2 - 5) / (1 - (-1)) = -3 / 2

when lines are perpendicular to each other then the slopes are in the next relationship:

sa · sb = - 1

we will check:

sa · sb = 2/3 · (- 3/2) = - 1

God is with you!!!

7 0
3 years ago
Other questions:
  • What’s the slope of 4x+5y= -20
    8·2 answers
  • 2. If a seamstress is paid $7.85 per hour and works 18.75 hours in one week, how much is she paid for that week? A. $147.19 B. $
    12·1 answer
  • a car advertisement states that a certain car can be accelerated from rest to 70 km/h in 7 seconds find the cars adverage accele
    15·1 answer
  • arrange the circles (represented by their equations in general form) in ascending order of their radius lengths,  x^+y^-2x+2y-1=
    7·1 answer
  • Find the values of x and y.
    8·1 answer
  • if you want to compare a fraction and a decimal, why do you need to convert them to same type of number?
    14·1 answer
  • PLEASE HELP ME!!
    12·1 answer
  • A display case of glitter stickers are marked 15 for $2. If Cathy wants to buy 30 glitter stickers, how much will Cathy spend?
    10·2 answers
  • Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work c
    7·1 answer
  • Four red, 8 blue, and 5 green balls are randomly arranged in a line. (a) What is the probability that the first 5 balls are blue
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!