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ArbitrLikvidat [17]
3 years ago
14

Write an equation for the nth term of the geometric sequence 3584, 896, 224... Find the sixth term of this sequence

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

r = \frac{a_n}{a_{n-1}} = \frac{896}{3584} =  \frac{1}{4}

Using the geometric series formula for the <em>n</em>th term:

S_n = a \cdot \frac{1-r^n}{1-r} => S_{6} = 3584 \cdot \frac{1 - (\frac{1}{4})^{6} }{1 - \frac{1}{4} }  = 4777\frac{1}{2}

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Find the mode: 16,12,10,15,7,916
Airida [17]

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

4 0
1 year ago
What's the final price?<br> sweater: $14.99<br> discount: 12%<br> tax: 6.25%
bogdanovich [222]
14.99*.12=1.80
14.99-1.8=13.19
13.19*.0625=.94
13.19+.94=14.13
final price 14.13
6 0
3 years ago
The sum of two times a number and four
Leokris [45]
Twice the sum of a number and 4 is 14. In this case the numbers are added first, and the ANSWER is doubled.
8 0
3 years ago
A jar contains 100 tickets for a drawing. Among those tickets are 7 winning tickets. What are the odds in favor of winning?
noname [10]

Answer:

i say 7/100

Step-by-step explanation:

if the 100 tickets is your total then its your denominator

the 7 is represents the tickets what are winners

3 0
3 years ago
Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is t
Lady bird [3.3K]

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

<h3>What is a sophomore?</h3>
  • A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions.
  • A sophomore in high school is equivalent to a tenth-grade or Class-10 student.
  • In sports, a sophomore is a professional athlete in their second season.

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

Know more about sophomore here:

brainly.com/question/23382435

#SPJ4

The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

6 0
1 year ago
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