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
Andrej [43]
1 year ago
8

Find the 21st term in the arithmetic sequence. 3, 7, 11, 15, 19, ...

Mathematics
1 answer:
NNADVOKAT [17]1 year ago
5 0

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

#SPJ1

You might be interested in
[(-3)+9] × [(-10)-(-9)]<br>please solve this​
exis [7]
[(-3)+9] × [(-10)-(-9)]

6 × (-10 + 9)

6 × (-1)

= -6
8 0
2 years ago
What type of 3D shape is this and how do you know?
oee [108]

Answer:

a triangular prism

Step-by-step explanation:

the 2 triangles

6 0
3 years ago
a square has a perimeter given by the expression 16x + 32y . Write an expression for the length of one side of the square
Lady_Fox [76]
Perimeter=4*side so 

side=p/4 and we are told p=16x+32y so

s=(16x+32y)/4

s=4x+8y

s=4(x+2y)
8 0
3 years ago
Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4
Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

Hypotenuse^2=Perpendicular^2+Base^2

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

Hypotenuse^2=8^2+12^2

Hypotenuse^2=64+144

Hypotenuse^2=208

Taking square root on both sides, we get

Hypotenuse=\sqrt{208}

Hypotenuse=14.422205

Hypotenuse\approx 14.4

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0
3 years ago
7. Is it proportional?
SCORPION-xisa [38]

Answer:

A unit rate is the rate of change in a relationship where the rate is per 1.

The rate of change is the ratio between the x and y (or input and output) values in a relationship.  Another term for the rate of change for proportional relationships is the constant of proportionality.

If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

To find y in a direct variation equation, multiply x by the constant of proportionality, k.

For example: Given the relationship y=7x, the constant of proportionality k=7,  so if x=3,  then y=3×7 or 21.

Given the same relationship, if x=7,  then y=7×7, or 49.  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • X-y=4. work out the value of 3(x-y)
    14·2 answers
  • How to write numbers in two other forms ?<br><br> 6,007,200
    12·1 answer
  • Someone’s mother has four sons. North, South and East. What is the name of the fourth son. Private message me the name of the fo
    15·2 answers
  • Marina babysits her neighbors' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a w
    5·1 answer
  • Ioana a citit dintr-o carte cu povesti 1314 pagini,depasind cu 238 pagini jumatatea cartii.cate pagini are cartea cu povesti a I
    12·1 answer
  • The snake population in a swamp Is 1056. The population of the snakes is increasing by a factor of 28% each year.
    13·1 answer
  • What are two ratios that are equivalent to 12:20?
    15·2 answers
  • Hellllppppp!!!! Pleaseeeee
    12·1 answer
  • How wide is a 3 ft doorway in a 1/4 inch scale drawing?
    13·1 answer
  • An after-school sewing club has 120 yards of fabric to divide equally among the members of the club. When two more students join
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!