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
lara31 [8.8K]
3 years ago
10

What is the nth term rule of the linear sequence below 1,7,13,19,25

Mathematics
1 answer:
zysi [14]3 years ago
4 0
First you see how it goes up 6 each time this is the start of your nth term rule
6n
Then -6 from the first term to get the ‘0th term’ 1-6=-5
So nth term rule is
6n-5
hope this helps
You might be interested in
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
A car dealership sold 480 vehicles last year. Of these vehicles, 15% were minivans.
natulia [17]
You can use my photo as reference but its going to be 15/100 of 480

7 0
3 years ago
The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there​
Ann [662]
Call x is the number of girls in the classroom.
12/120 = 25/x
x = 120*25/12
x=250
Answer 250 girsl
8 0
3 years ago
Read 2 more answers
TIMED QUESTION NEED HELP FASTWhat values of b satisfy 3(2b + 3)2 = 36?
egoroff_w [7]

Answer:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

Step-by-step explanation:

3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12

Taking square root both sides, we get

\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}

Therefore, the values of b are:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

5 0
3 years ago
Read 2 more answers
Which models best illustrates the inequality and its graph? t ≥ 60
Dmitry [639]

It will be the model that has the arrow going to the right with the starting point at 60 having a solid circle.

7 0
3 years ago
Other questions:
  • A polynomial expression is shown below.
    12·1 answer
  • Prove that a parallelogram is a square iff its diagonals are both congruent and perpendicular
    14·1 answer
  • If a=3 and b= 8 what is the answer and how to solve b-3-3
    14·2 answers
  • SOMEONE HELPPP.ILL GIVE BRAINLEST​
    8·1 answer
  • M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?
    6·2 answers
  • Your cookie recipe calls for 3/4 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you nee
    6·1 answer
  • Can I please get help ​
    9·1 answer
  • PLEASE HELP!!!
    11·2 answers
  • in an examination ,80%examines passed in English ,70%in mathematics and 60% in both subject if 45 examines failed in both find t
    14·1 answer
  • The horizontal viewing angle is the angle subtended by a straight line from
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!