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
GalinKa [24]
3 years ago
8

Whats the answer??? Pleaseeee!!!!

Mathematics
1 answer:
kvasek [131]3 years ago
5 0

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ <em>1st term</em>

15 ⇒ <em>2nd term</em>

18 ⇒ <em>3rd term</em>

21 ⇒ <em>4th term</em>

24 ⇒ <em>5th term</em>

27 ⇒ <em>6th term</em>

30 ⇒ <em>7th term</em>

33 ⇒ <em>8th term</em>

36 ⇒ <em>9th term</em>

39 ⇒ <em>10th term</em>

42 ⇒ <em>11th term</em>

45 ⇒ <em>12th term</em>

48 ⇒ <em>13th term</em>

51 ⇒ <em>14th term</em>

54 ⇒ <em>15th term</em>

57 ⇒ <em>16th term</em>

60 ⇒ <em>17th term</em>

63 ⇒ <em>18th term</em>

66 ⇒ <em>19th term</em>

<u>69 ⇒ </u><u><em>20th term</em></u>

<u><em></em></u>

This means that the 20th term of this arithemtic sequence is 69.

You might be interested in
The opposite of the fraction one third
lozanna [386]
The opposite of the fraction one third would be negative one third. To be opposite, they must have differing signs. One number should be positive and the other number should be negative. It is different from reciprocal. To be a reciprocal, <span>one number should be the flipped fraction, or upside down version, of the other number.</span>
3 0
3 years ago
Consider U = {x|x is a positive integer greater than 1}.
Zinaida [17]
B) {x|x ∈ U and 2x is prime}
x is greater than 1.
the only even prime number is 2
2 times anything is even.
the minimum x value is 2. 2x is 4, therefore higher than the only even number
every value 2x will have a multiple of 2 so it will not be prime.
6 0
3 years ago
Read 2 more answers
A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu
yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = \sqrt[4]{3} is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0
3 years ago
Sean can spend at most $15.00 on snacks. He has already spent $5.00. Which inequality could be solved to determine how much mone
Lady bird [3.3K]

Answer:

5 + x ≤ 15

Step-by-step explanation:

4 0
3 years ago
In Mr. Scott’s class the ratio of boys to girls is 2:3. The total number of students in Mr. Scott’s class is 30. What percent of
Yuri [45]

Answer:

40% of the class is Girls, so 12 students are girls

Step-by-step explanation:

add up the ratio

2+3=5

divide by 5

30/5=6

multipy ratio to find totial number of students

2*6=12

2*3=18

divide the number of students to get the pecentage

12/30=0.4=40%

18/30=0.6=60%

5 0
3 years ago
Other questions:
  • A. In two or more complete sentences, explain how to find the exact value of sec 13pi/6 including quadrant location
    15·1 answer
  • A SQUARE PYRAMID has a base length of 8in. The height of the pyramid is 2.4in. What is the SQUARE AREA of the pyramid? ***USE FO
    13·1 answer
  • Slope of (7,1) (12,4)
    15·1 answer
  • A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
    10·2 answers
  • 5&gt;r-3 I need help with this
    15·2 answers
  • A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1
    11·1 answer
  • The meal cost $35 and the customer left a 20% tip. How much was the tip?​
    11·1 answer
  • write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,
    8·1 answer
  • The total number of atoms represented by the formula K₂CrO₇ is *<br> 10<br> 28<br> 1<br> 3
    13·1 answer
  • What is the diameter of a circle with circumference<br> C= 191 ? Leave answers in exact form.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!