Can someone help me solve this:<br><br> ... = 72x1/12

Express the terms of the following sequence by giving a recursive formula.

MAXImum [283]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

In a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have

ladessa [460]

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent , Option B is the answer.

<h3>What is Probability ?</h3>

Probability is the study of likeliness of an event to happen. The range of probability is 0 to 1.

It is given that

In a certain city, 60% of the heads of household own the house in which they reside,

and 80% of the heads of the household have full-time employment.

percentage of heads of household both own their home and have a full-time job =?

As the probability of a person having both their own home and having full time employment are not independent , therefore

No, because although two probabilities should be multiplied, it should not be these two probabilities. This is because the two events are likely not independent.

Therefore Option B is the correct answer.

To know more about Probability

brainly.com/question/11234923

#SPJ1

7 0

2 years ago

Benito wrote the equations shown about the figure. Explain Benito’s errors.

Whitepunk [10]

Answer:

Benito's error was stating that the correspongind sides and angles are equal (=) instead of stating that they are congurent (≅).

Explanation:

In geometry two different figures (segments, angles, polygons ,...) are not said to be equal but congruent.

Congruent means that they have the same measure but not that they are equal in other senses.

The use of equal is applied to numbers or variables),so you can tell x = 2, 3 = 3, A = πr², but you should not say segment AB is equal to segment BC. Instead you say segment AB ≅ segment BC, which is segment AB is congruent to segment BC.

Of course, you still can use the word equal (symbol =) if you state that you are talking about measures.

This also can help you

Correct: segment AB ≅ segment BC

Correct: legth of segment AB = length of segment BC

Incorrect: segment AB = segment BC

Segment AB and segment BC are not equal because they are two different segments. They are congruent because they have the same length.

Note: the bars shown over the letters AB, BC, AD, DC, mean segment.

6 0

4 years ago

Please help me and also show how to do the work thank you :)

mafiozo [28]

Basically you take the different kinds of crusts you can get and multiply that by the different toppings you can get. So
3 X 5 = 15
The answer is D

Hope this helps !

3 0

4 years ago

Can someone please help me with is ixl?.

Deffense [45]

Well you would reverse the equation when it is solved, ie:
d = 1/2 + 3/4

and it would be the last answer, or 1.25 miles

7 0

4 years ago

Can someone help me solve this: ... = 72x1/12