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
frosja888 [35]
3 years ago
12

The fourth term in an arithmetic sequence is 18 and the seventh term is 42. if the first term is a1, which is an equation for th

e nth term of this sequence? 1. an = 8n + 10 2. an = 8n − 14 3. an = 16n + 10 4. an = 16n − 38

Mathematics
2 answers:
Lynna [10]3 years ago
8 0
The fourth term in an arithmetic sequence is 18 and the seventh term is 42. if the first term is a1, which is an equation for the nth term of this sequence?
1. an = 8n + 10
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆ 2. an = 8n − 14
3. an = 16n + 10
4. an = 16n − 38

Ilia_Sergeevich [38]3 years ago
6 0

Answer:

Option 2nd is correct

a_n =8n-14

Step-by-step explanation:

The nth term for the arithmetic equation is give by:

a_n = a_1+(n-1)d             ....[A]

where,

a_1 is the first term

d is the common difference and

n is the number of term.

As per the statement:

The fourth term in an arithmetic sequence is 18 and the seventh term is 42

⇒a_4 = 18 and a_7 = 42

then by above definition we have;

a_1+3d = 18             .....[1]

a_1+6d = 42            .....[2]

Subtract equation [1] from [2] we have;

3d = 24

Divide both sides by 3 we have;

d = 8

Substitute in [1] we have;

a_1+24 = 18

Subtract 24 from both sides we have;

a_1=-6

We have to find the equation for the nth term of this sequence

Substitute the given values in [A] we have;

a_n = -6+(n-1)\cdot 8

⇒a_n = -6+8n-8

⇒a_n =8n-14

Therefore, an equation for the nth term of this sequence is, a_n =8n-14

You might be interested in
How do you solve interquartile range?
77julia77 [94]
By Hand
Step 1: 
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: 
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: 
Place parentheses around the numbers above and below the median. 
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: 
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7),  9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: 
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
5 0
3 years ago
Read 2 more answers
There are 7 bags. 2 bags are big. The rest are small.How many bags are small?
siniylev [52]
7-2=5
Ans: 5 bags are small.
6 0
3 years ago
The diagram below show the dimensions of a container of sand that is shaped like a rectangular prism . The container is filled u
monitta

Answer:

Its B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help with algebra please
Lena [83]
Domain - [-3,3] - What x values there are
Range- [-3,1] - What y values there are
6 0
3 years ago
Read 2 more answers
1. Here is a circle. Points A, B, C, and D are drawn, as
Darya [45]

The area of the circle is approximately 50

<h3>Areas</h3>

The area of a shape is the amount of space occupied by the shape

<h3>Area of circle</h3>

Given the three radius of the circle, the area of the triangle is calculated using:

Area = \pi r^2

From the figure, we have:

AD = 4 --- the radius

So, we have:

Area = \pi r^2

Area = 3.14 \times 4^2

Area = 50.24

Approximate

Area = 50

Hence, the area of the circle is approximately 50

Read more about areas at:

brainly.com/question/10117243

8 0
2 years ago
Other questions:
  • Explain how showing fractions with models and a number line are alike and different?
    13·1 answer
  • The sum of two consecutive integers is 51. What are the numbers?
    7·2 answers
  • In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur
    11·1 answer
  • Write an equation in slope intercept form for the line with slope negative three fourths and y intercept of negative one
    7·1 answer
  • How can you use models to explain why 3.1 equals 3.10
    5·1 answer
  • Find the length of side b in the right triangle below use the calculator to estimate the square root to one decimal place.
    7·1 answer
  • Please help!! ; Evaluate the expression.<br><br> 6 ÷ −3<br><br> A. -2<br> B. -3<br> C. 3<br> D. 2
    11·2 answers
  • Select all the rates that are unit rates.
    7·1 answer
  • If you eat 225% of a pizza, how many pizzas did you eat?
    12·2 answers
  • Pls help! 30 points!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!