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
kirill [66]
2 years ago
8

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

Mathematics
1 answer:
storchak [24]2 years ago
6 0

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

You might be interested in
Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the
stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

d = -33-(-15)

d = -33+15

d = -18

Now, nth term  of an arithmetic sequence is

a_n=a+(n-1)d

Substitute a=-15 and d=-18.

a_n=-15+(n-1)(-18)

a_n=-15-18n+18

a_n=-18n+3

Therefore, the nth term of the given arithmetic sequence is a_n=-18n+3.

4 0
3 years ago
Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice
Paha777 [63]

Answer:

f(g(x))=6x^3} +4

Step-by-step explanation:

Given:

f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so f(X)=2X^2+4

put X=g(x)=\sqrt{3x^3}, we get

f(g(x))=2(\sqrt{3x^3} )^2+4

f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4

5 0
3 years ago
People said to put a picture of it so here
wariber [46]

Answer:

I think right answer is integers

3 0
3 years ago
I’m too lazy to do all of this and I’m also a little confused on it, and I also have more hw besides this one, so ima need all t
Oliga [24]

Answer:

14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.

15. The percentage of 4000 that 2600 equates to would be 65%.

16. 4% of 33000 is 1320.

16b. Double of 1320 is 2640.

17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.

18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:

Honestly I can't think of two. Sorry, my brain is completely fried today.

19. 760 in sales commissions to meet the wage amount.

20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.

6 0
2 years ago
Read 2 more answers
How much confetti is dropped at the super bowl?
slamgirl [31]
About 3,000 pounds of confetti is dropped.
6 0
3 years ago
Other questions:
  • What are the solutions of |3x + 2| &gt; 9?
    5·1 answer
  • Which equation can be used to show the relationship between the circumference C and a diameter D of a circle
    11·1 answer
  • Ok so what really is 9 10?
    15·2 answers
  • Is 9515 divisible by 11
    12·1 answer
  • Sovle number 2 pls and thank you
    6·1 answer
  • In the figure, which of the following edges is skew to edge AD?
    5·1 answer
  • Help me on this pleasseeee
    11·2 answers
  • Solve the following equation: <br>8(x - 4) = 4(x - 7) ​
    6·2 answers
  • Linda climbed a mountain to a
    6·1 answer
  • Is it A,B,C or D I´m stuck on this..
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!