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Anna71 [15]
3 years ago
8

Which function represents the sequence?

Mathematics
2 answers:
Tom [10]3 years ago
5 0

Answer: SECOND OPTION

Step-by-step explanation:

Substitute any value of <em>n</em> shown in the table attached into each function given in the options, and observe if you obtain the value of a_n shown in the table.

Let's substitute n=1 (According to the table, you need to obtain a_n=3):

<u>For the first option:</u>

f(1)=1+3=4

<u>For the second option:</u>

f(1)=7(1)-4=3  THIS IS THE FUNCTION

<u>For the third option:</u>

f(1)=3(1)+7=10

 <u>For the fourth option:</u>

f(1)=1+7=8

Therefore, the answer is the second option.

Naddik [55]3 years ago
3 0

ANSWER

f(n) = 7n - 4

EXPLANATION

The terms of the sequence are;

3,10,17,24,31,...

This implies that,

a_1=3

The constant difference is

d = 10 - 3 = 7

The nth term of the sequence is;

a_n=a_1+d(n-1)

a_n=3+7(n-1)

a_n=3+7n - 7

a_n=7n-4

Or

f(n) = 7n - 4

The correct choice is B.

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Step-by-step explanation:

a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.

b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.

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Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
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