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
shtirl [24]
2 years ago
12

The fourth term in an arithmetic sequence is 18 and the seventh term is 39. If the first term is a1 , which is an equation for t

he nth term of this sequence?
Mathematics
1 answer:
evablogger [386]2 years ago
8 0

Answer:

<h2>            aₙ = 7n - 10</h2>

Step-by-step explanation:

The nth term:  a_n=a_1+d(n-1)

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10

You might be interested in
The blue dot is at what value on the number line?<br> +<br> +<br> -7<br> -3
jeka57 [31]

Answer:

there's no picture to see on here

5 0
3 years ago
A water tank holds 12 gallons. How many full buckets of water will it take to fill the tank, if each bucket has capacity 3 quart
liraira [26]

Answer:

4 full buckets

Step-by-step explanation:

there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.

Hope it helped!

4 0
1 year ago
Read 2 more answers
What is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Alisiya [41]

Answer:

x=3

Step-by-step explanation:

6 0
2 years ago
Please help me and I will make you the brainiest
wlad13 [49]

Answer:

y=a-4 divided 3-a and a cut so remember 4divided3  so, y= 1.33

Step-by-step explanation:

7 0
3 years ago
How does the sketch of a graph of function help describe its behavior
Gwar [14]

Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

8 0
2 years ago
Other questions:
  • Find the value of x for which ABCD must be a parallelogram
    9·2 answers
  • How do you know whether to add or subtract when using the distributive property to multiply?
    11·1 answer
  • Why me i'm gonna die help someone plz
    12·1 answer
  • Find the intervals from which f is increasing or decreasing for f(x)=3x^2/5-x^3/5
    5·1 answer
  • 4. Ms. Renner is having a cake party for her
    9·1 answer
  • Simplify: 4(x + 3) + 6x<br><br><br> besties please help me
    12·2 answers
  • What is the distance between the points? Round to the nearest tenth if necessary.
    12·1 answer
  • Please help I need help
    8·1 answer
  • How many ninths are in 5 wholes??? <br>Answer correct, please do quickly!!!<br>TY:)​
    8·2 answers
  • This sphere has a radius of 9 m. What is the surface area of the sphere? Enter your answer, in exact form, in the box
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!