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
Natali5045456 [20]
2 years ago
14

Please show me step by step how to do this

Mathematics
1 answer:
Stels [109]2 years ago
8 0

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

p(n) = p_{1}+r\cdot (n-1) (1)

Where:

p_{1} - First element of the sequence.

r - Progression rate.

n - Index of the n-th element of the sequence.

p(n) - n-th element of the series.

If we know that p_{1} = 1, n = 2 and p(n) = 5, then the progression rate is:

r = \frac{p(n)-p_{1}}{n-1}

r = 4

The set of elements of the series are described by p(n) = 1 + 4\cdot (n-1).

Lastly, if we know that n = 300, then the 300th term of the sequence is:

p(n) = 1 + 4\cdot (n-1)

p(n) = 1197

And the next three terms of the sequence are:

n = 5

p(n) = 1 + 4\cdot (n-1)

p(n) = 17

n = 6

p(n) = 1 + 4\cdot (n-1)

p(n) = 21

n = 7

p(n) = 1 + 4\cdot (n-1)

p(n) = 25

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

You might be interested in
Simplify<br>-6√20+2√45+7√5 <br><br>show Woking out to prove ans please​
Dmitry_Shevchenko [17]

Answer:

\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{20} = \sqrt{4(5)} = \sqrt{4} × \sqrt{5} = 2\sqrt{5}

\sqrt{45} = \sqrt{9(5)} = \sqrt{9} × \sqrt{5} = 3\sqrt{5}

Thus

- 6(2\sqrt{5}) + 2(3\sqrt{5}) + 7\sqrt{5}

= - 12\sqrt{5} + 6\sqrt{5} + 7\sqrt{5}

= \sqrt{5}

6 0
2 years ago
Val measures the diameter of a ball as 6 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.1
7nadin3 [17]

Answer:

The ball holds 113.0 cubic inches of air

Step-by-step explanation:

Firstly we need to know the shape of the ball

A ball is spherical in shape

So to know the number of cubic inches, we have to find the volume of air in the ball

Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere

The formula for the volume of a sphere is ;

V = 4/3 * pi * r^3

in this case, r = d/2 = 6 /2 = 3 inches

where r is the radius of the ball and d is the diameter of the ball

So, substituting these values , we have

V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches

3 0
2 years ago
Which sets of ordered pairs show equivalent ratios? Check all that apply.
julsineya [31]

Answer:

#2

#3

Step-by-step explanation:

Can I have brainilest plz

7 0
2 years ago
Explain how you know that the equation 3x = 9 is equivalent to the equation x =3.
Marat540 [252]

Hey there!

If x = 3 then substitute it into the equation

3(3) = 9

3(3) = 9

9 = 9

Answer: 9 = 9, so this makes this statement is true

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0
3 years ago
Express 150 as:<br> a) A fraction of 350.<br> b) A percentage of 600.
NemiM [27]
A) 3/7 and B) 25%. Give me a like if I helped please :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Based on the construction which statement must be true​
    8·1 answer
  • Write 0.4 as a fraction in simplest form
    5·2 answers
  • Why did the scientist make an exact duplicate of himself
    11·1 answer
  • Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her fi
    14·2 answers
  • christian and steven are learning how to ski. Justin falls down every 30 feet. mike falls down every 25 feet. if they both start
    7·1 answer
  • A desk is on sale for $135.20, which is 26% of the regular price. What is the regular price?​
    5·1 answer
  • 30.16 = 17.56 + 5x what is x
    9·2 answers
  • Does anyone know the correct synthetic division of (x^2 – 4x + 7) ÷ (x – 2)?
    6·2 answers
  • Answer BOTH questions and show your work (either type out your steps, use the writing tool or upload a picture of your work):
    15·1 answer
  • The product of (x + 3)(-x2 + 4x − 2) is:
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!