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Leto [7]
3 years ago
9

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

\frac{-1}{2}

\frac{\frac{1}{2}}{-1}

\frac{\frac{-1}{4}}{\frac{1}{2}}

They are all equal to \frac{-1}{2}.

So we are saying:

\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}

More formally:

\frac{a_n}{a_{n-1}}=\frac{-1}{2}.

Multiply both sides by a_{n-1}:

a_n=\frac{-1}{2}a_{n-1}

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

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Given that LON is a right angle, find the measure of x.​
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Answer:

x=30\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

2x+x=90

solve for x

3x=90

x=30\°

4 0
3 years ago
the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factor
AURORKA [14]

Answer:

3

Step-by-step explanation:

6 have visited a zoo.

6 have visited a factory.

3 visited both.

Of the 6 who visited a zoo, 3 also visited a factory.

Of the 6 who visited a factory, 3 also visited a zoo.

Here is the list of students:

3 visited a zoo but not a factory.

3 visited a factory but not a zoo.

3 visited both.

Answer: 3

6 0
2 years ago
13. Find the values of x and y in the diagram below.
Umnica [9.8K]

Answer:

x = 2

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Step-by-step explanation:

Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.

Add the 3 on its lower left to get 10.

so, 3 - x = 1. x = 2

17 - y = 13. y = 4

8 0
2 years ago
Solve each system by substitution.<br>1) y = 7x - 10<br>y=-3​
djyliett [7]
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8 0
3 years ago
Curriculum Planning In a study of college programs, 820 students are randomly selected from those majoring in communications, 14
sasho [114]

Answer:

The correct option is stratified sampling

Step-by-step explanation:

Stratified sampling is a sampling techniques that divide a population into strata which is homogeneous and then simple random sampling (SRS) is then applied in each stratum to get the required samples.

Looking at the question, the population has been divided into strata I.e those majoring in communication, those majoring in business, and those majoring in history, then simple random sampling is then applied to pick the required samples.

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3 years ago
Read 2 more answers
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