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WARRIOR [948]
2 years ago
10

A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn/3

Mathematics
1 answer:
spayn [35]2 years ago
3 0

Answer:

  tn = 243·(1/3)^(n-1)

Step-by-step explanation:

The recursive formula tells you the first term (243) and the common ratio (1/3). You can put these numbers into the general formula for the n-th term of a geometric sequence:

  an = a1·r^(n-1) . . . . . where a1 is the first term and r is the common ratio

You want the n-th term of your sequence to be called tn, so ...

  tn = 243·(1/3)^(n-1)

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Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com
ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

 Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

 = 8C1   =  \hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!}  = \frac{8!}{1!\times 7!}  = \frac{8}{1}  = \hspace{0.1cm}8 \hspace{0.1cm}ways

6 0
2 years ago
Find the common ratio of the following sequence:<br><br>192, -48, 12, -3, ...
pochemuha

Answer:

yess something i did recently

Step-by-step explanation:

-48/192=-1/4

6 0
2 years ago
Which point is a solution to the system of inequalities below?
vodomira [7]

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

7 0
11 months ago
Is this correct? answer quick please!
scZoUnD [109]

Answer:

yessssss

Step-by-step explanation:

...........

8 0
3 years ago
Please help me :(
damaskus [11]
You could use sine to find it
sin45 = 8/m
m = 8/sin45
3 0
3 years ago
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