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yarga [219]
3 years ago
12

Find an explicit rule for the nth term of the sequence.

Mathematics
2 answers:
Pavel [41]3 years ago
5 0
Hello ;
<span>an = 1 • 3n - 1</span>
Flauer [41]3 years ago
4 0

Answer:

Option C is the correct answer.

Step-by-step explanation:

1, 3, 9, 27, ...

This is an example of Geometric progression.

First term, a  = 1

Common ratio, r = 3

We have n th term of GP

            a_n=ar^{n-1}

Substituting

            a_n=ar^{n-1}=1\times 3^{n-1}

Option C is the correct answer.          

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Initially, a population of rabbits was found to contain 192 rabbits. It was estimated that the population was growing exponentia
aleksley [76]

Answer:

the population after 52 days is $34,804.27

Step-by-step explanation:

Given that

There is a population of the rabbits i.e. 192

And, the growth rate is 10%

We need to find out the population after 52 days

So,

= 192 × e^(0.10 × 52)

= $34,804.27

hence, the population after 52 days is $34,804.27

7 0
3 years ago
X+3=-x-3 what does x equal
wlad13 [49]

Answer:

x=-3

Step-by-step explanation:

Place like terms on the same side.

Keep in mind when a term is moved from its original position, it changes sign.

x+x=-3-3

2x=-6

x=-3

6 0
3 years ago
Read 2 more answers
Which values are in the solution set of the compound inequality? Select two options
zhannawk [14.2K]

The values are in the solution set of the compound inequality are (-6, -3), (3, 8).

<h3>What is inequality?</h3>

Inequality is the phenomenon of unequal distribution of resources and opportunities among the given function.

To find the number that are solutions to the compound inequalities, the value of x is

First inequality:

4(x +3) ≤0

4x +12 ≤0

4x ≤-12

x ≤-3

The value of x lies in the interval = (-∞ , -3]

Second inequality:

x +1 >3

x>2

The value of x lies in the interval = (2 , ∞)

So, the interval solution is (-∞ , -3] U (2 , ∞)

Thus, the values are in the solution set of the compound inequality are (-6, -3), (3, 8).

Learn more about inequality.

brainly.com/question/20383699

#SPJ1

7 0
2 years ago
Evaluate the expression when x= -3.<br><br> x2-5x-8
never [62]

Step-by-step explanation:

  • x²-5x-8

When x=-3, then

  • (-3)²-5×(-3)-8
  • 9+15-8
  • 24-8
  • 16
4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=8%20-%20%20%7B2%7D%5E%7B2%7D%20%20%2B%203%20-%205" id="TexFormula1" title="8 - {2}^{2} + 3 -
Vlad1618 [11]

The answer should be 8+[(2^2)+3]-5

Hope this helps!


3 0
3 years ago
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