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
Vadim26 [7]
2 years ago
5

Consider the sequence 100, 50, 25,12.5 ... Can it arithmetic? Can it be geometric? why?

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
3 0

Answer:

(a) Arithmetic? No. Geometric? YES!

(b) The terms will never become zero or negative.

Step-by-step explanation:

<h2>Explaining part (a)</h2>

An aritmetic sequence has the same difference between each term, positive or negative.

Example:  1, 4, 7, 10, 13, ...  the difference between consecutive terms is always 3

Example:  0, -2, -4, -6, -8, ... the difference between consecutive terms is always -2

A geometric sequence has the same ratio (or multiplier) between consective terms, positive or negative, causing an increase or a decrease.

Example: 1, 2, 4, 8, 16, ...  each term is 2x the term before it

Example: 64, 32, 16, 8, 4, 2, 1, (1/2), (1/4), (1/8), ...each term is half the term before

Example: +91, -27, +9, -3, +1, -1/3, +1/9. -1/27, ... each term is -1/3 of term before

In the given sequence, we can see that the difference between terms is not always the same number. 100 - 50 = 50, but 50 - 25 = 25, not 50.

However, we do see that each term is half the term before it. That is definitely geometric.

<h2>Explaining part (b)</h2>

For 100, 50, 25, 12.5, ... we get each term by multiplying the previous term by (1/2), which is a positive number. No matter how many times you multiply by a positive, you'll never get a negative or get a zero.

Multiply by 1/2 enough times, and you get as small a positive number as you like, but it will always be positive, even if you get down to billionths or trillionths.

You might be interested in
Leila stopped at the coffee shop on her way to work. She ordered 4 bagels, 2 yogurts, and 2 orange juice. Bagels were $0.69 each
ASHA 777 [7]

Answer:

the total cost is $9.24

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help MEEEEEE PLEASEEEEEEE
Anton [14]

Answer:

4 1/3 hours

Step-by-step explanation:

Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far

4 0
2 years ago
Read 2 more answers
Which of the choices below follow an exponential pattern? Select all that apply.
Masja [62]
What are the choices?
8 0
3 years ago
Please explain question nine, I’m struggling with math and I wanna dieeee
-BARSIC- [3]
It’s 17 because the ranking of the two teams add up to 17
7 0
3 years ago
a container holds 15 pennies 8 nickels and 10 dimes you will randomly select two coins without replacement what is the probabili
AlexFokin [52]
<span>A container holds 15 pennies, 8 nickels, and 10 dimes. 
You will randomly select two coins without replacement. 
-->Fill in the probabilities on a tree diagram.</span>
3 0
3 years ago
Other questions:
  • Three times a number plus five is less than three fourths of the number
    14·2 answers
  • List the elements of the set given below.
    11·1 answer
  • If 15% of y is 13.2, what is y?
    9·1 answer
  • What is the correct method for solving 20+4x=24
    15·2 answers
  • If (1/4)^(x+y) = 256 and log₄(x-y) = 3, what are the exact values of x and y
    14·1 answer
  • Solve for the perimeter and keep it in pi
    7·1 answer
  • Whoever gets it right is gets brainly also e x p la i n
    14·2 answers
  • 2 1 point
    6·1 answer
  • Write out the steps to find the solutions for the following quadratic: (x-2)^2 = 25
    10·1 answer
  • A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of brass?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!