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blondinia [14]
3 years ago
5

Determine the first four terms of the sequence in which the nth term is

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

<u>Answer:</u>

The correct answer option is: \frac{1}{3} ,\frac{1}{4} ,\frac{1}{5} ,\frac{1}{6}.

<u>Step-by-step explanation:</u>

We know that the nth term a_n for an arithmetic sequence is given by:

a_n=\frac{(n+1)!}{(n+2)!}

where n is the number of the position of the term.

We are supposed to find the first four terms of the sequence so we will substitute the values of n from 1 to 4 in the given formula to get:

1st term:

a_1=\frac{(1+1)!}{(1+2)!}=\frac{1}{3}

2nd term:

a_2=\frac{(2+1)!}{(2+2)!}=\frac{1}{4}

3rd term:

a_3=\frac{(3+1)!}{(3+2)!}=\frac{1}{5}

4th term:

a_4=\frac{(4+1)!}{(4+2)!}=\frac{1}{6}

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Answer:

B

Explanation:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
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3 years ago
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Meg found another treasure between -17 feet and -2 1/2 feet. Where was that treasure?
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What is the explicit formula for this sequence?
kati45 [8]

<em>Greetings from Brasil...</em>

With the recursive formula, lets build the sequence:

A1 = 4

A2 = A1 - 7

A3 = A2 - 7

A4 = A3 - 7

A5 = A4 - 7

(...)

But pay attention to A3....

A3 = A2 - 7   but  A2 = A1 - 7 , so rewriting A3

A3 = (A1 - 7) - 7 ⇒ A3 = A1 + 2.(- 7)

A4 = A3 - 7 ⇒ A4 = [(A1 - 7) - 7] - 7 = A1 + 3.(- 7)

A5 =  {[(A1 - 7) - 7] - 7} - 7 = A5 + 4.(- 7)  

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A kitchen is 12 ft. by 14 ft. with 10 ft. high walls. How much would it cost to put vinyl flooring in this room? $8.80 per ft
Feliz [49]

<em>Answer:</em>

<em>In my opinion the answer would be 520x.</em>

<em>Step-by-step explanation:</em>

<em>Let x be the price of wallpaper per square feet. </em>

<em>Dimensions of a kitchen are: </em>

<em>width: w = 12 ft </em>

<em>length: l = 14 ft </em>

<em>height: h = 10 ft </em>

<em> </em>

<em>If you need to put wallpaper in the room, you will put it only on the walls. There are 4 walls in the kitchen: two walls which dimensions are 12 ft and 10 ft, and two walls which dimensions are 14 ft and 10 ft. Since walls are of rectangular shape, we will use the following formula for the area of walls: </em>

<em>A = 2 * w * h + 2 * l * h </em>

<em>A = 2 * 12 * 10 + 2 * 14 * 10 </em>

<em>A = 240 + 280 </em>

<em>A = 520 ft² </em>

<em> </em>

<em>So, if 1 square foot costs x, 520 square feet will cost </em><em><u>520x</u></em>

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Answer:

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