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
Vinil7 [7]
3 years ago
11

Which of the following are geometric sequences? Check all that apply.

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answers:

<h2>C & D</h2>

Step-by-step explanation:

There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:

An arithmetic sequence is produced by adding the same number to all the terms in the sequence.

EXAMPLE:

5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)

To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.

7 - 5 = 2

9 - 7 = 2

11 - 9 = 2

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

All results equal 2, so the sequence is arithmetic

From your list: The following sequences are arithmetic

A. 5, 10, 15, 20, 25 (common difference of 5)

The next type of sequence is the geometric sequence.

A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.

EXAMPLE:

100, 50, 25 (Each term is divided by 2)

To figure this out, we divide each term in the sequence by the next term.

100 / 50 = 2

50 / 25 = 2

All results are two, so this sequence can be confirmed to be geometric

From your list: The following sequences are geometric

C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)

D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)

There is one final type of sequence, which has no common difference, sum, quotient, or product.

EXAMPLE:

5, 6, 8, 9, 11, 12, 14, 15

This sequence has a pattern, the differences between the numbers are not common.

6 - 5 = 1

8 - 6 = 2

9 - 8 = 1

11 - 9 = 2

12 - 11 = 1

14 - 12 = 2

15 - 14 = 1

From your list: The following sequences are neither geometric nor arithmetic

B. 1, 1, 2, 3, 5, 8, 13 (No pattern)

I'n always happy to help :)

You might be interested in
Joe spend $350 on bills monthly. Of this total and 11% for car insurance, 2/9 is for cable, 1/10 is for phone. How much money do
Mice21 [21]
11% = 11/100
2/9 + 11/100 + 1/10 = 389/900
389/900 x 350 = 151.3
350 - 151.3 = 198.7
4 0
3 years ago
how do theme and tone work together? a. theme involves characters, and tone involves the historical context of those characters.
ahrayia [7]
Theme and tone work together in that B) theme is a poem's main idea, and tone is the writer's attitude toward that idea. 
4 0
3 years ago
Find the value of n in this equation.
lisabon 2012 [21]

Answer:

  • D. 9

=========================

<h2>Given </h2>

Triangle with:

  • Base of n² -3,
  • Midsegment of 39.

<h2>To find</h2>

  • The value of n.

<h2>Solution</h2>

As per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.

So we have:

  • (n² - 3)/2 = 39

Solve it for n:

  • n² - 3 = 78
  • n² = 81
  • n = √81
  • n = 9

Correct choice is D.

3 0
1 year ago
16y=14+9y please answer 23 points
NeTakaya

Answer:

<h2>y = 2</h2>

Step-by-step explanation:

16y=14+9y\qquad\text{subtract}\ 9y\ \text{from both sides}\\\\16y-9y=14+9y-9y\\\\7y=14\qquad\text{divide both sides by 7}\\\\\dfrac{7y}{7}=\dfrac{14}{7}\\\\y=2

4 0
3 years ago
the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?
kvasek [131]

Answer:

50.27 units²

Step-by-step explanation:²

The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius.  Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.

The formula for the area of a circle is A = πr².

Here, with r = 4, the area is A = π(4 units)² = 16π units², or

50.27 units² to the nearest hundredth.

3 0
3 years ago
Other questions:
  • A= 1/2bh if b=3 in. And h= 8 in., what is the area of the triangle?
    6·1 answer
  • The value of 9 in 13.98 is 10 times 1 time or 1/10 times the value of 9 in 559.7.
    10·1 answer
  • State how many imaginary and real zeros the function has. f(x) = x5 + 7x4 + 2x3 + 14x2 + x + 7
    15·1 answer
  • MATH!!! I HAVE NO IDEA HOW TO DO THIS PLEASE SHOW ME THE WORK I WANNA KNOW HOW TO DO THIS FOR THE NEXT QUESTION!!!!​
    5·1 answer
  • I need the answer can someone please help me!!
    12·1 answer
  • What can you say about the function that generated the following table of values? O A. the function has no x-intercepts O B. the
    10·1 answer
  • Evaluate x2+9/x2 for each of the given values.
    6·2 answers
  • Write the equation of the line that has a slope of -2 and y-intercept of 1.
    13·1 answer
  • What is the difference between an expression and an any quality
    6·1 answer
  • Which function represents this graph?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!