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iren [92.7K]
2 years ago
7

Question is in the picture, please help me out!!

Mathematics
1 answer:
Grace [21]2 years ago
6 0

The arithmetic sequences are as follow:

<h3>What is Arithmetic Sequence?</h3>

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

1) t(n) = 5n + 4

t(1) = 9, t(2) = 14, t(3) = 19

So,

9,14,19,...

d= 14-9 = 5

d= 19-14 =5

Hence, it is an AP

2) 1, 2, 4, 8 , 16

Hence, it is not an AP

3) 3, 6, 9 ,...

It is an AP

4)It is given that it is an AP

5) tn =  2*3^n

 t1= 6, t2= 18, t3= 54

So, 6, 18, 54,...

Hence, it is not an AP

6) 3 , 1, 1/3,...

It is not an AP

7) t(n+1)= 6*t(n)

t(1) = -1

t(2)=-6

t(3)= -36

Hence, it is not an AP

8) -3, 1, 5, 9

Hence, it is an AP.

9) 1, 4, 9,...

Hence, it not an AP

10) 2,1,0,1,2,...

It is not an AP

11) t(n)= -2n-5

t(1)= -7, t(2)= -9, t(3)= -11

Hence, it is an AP

12) tn= (1/2)^n

 t1= 1/2, t2= 1/4, t3= 1/8

It is not an AP

Learn more about AP here:

brainly.com/question/24873057

#SPJ1

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2 √(5) - √(5) + 4 √(5) + √(3)<br> simplify
konstantin123 [22]

Step-by-step explanation:

2√5 -√5 +4√5 +√3

2-1+4√5 +√3

5√5 + √3

4 0
1 year ago
The explicit rule for a sequence is an=5(−2)^n−1
Murrr4er [49]

Answer:

3) a_n=-2a_{n-1}, a_1=5

Step-by-step explanation:

Given that the explicit rule for a sequence is a_n=5(-2)^{n-1}.

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) a_n=-2a_{n+1}, a_1=5

2) a_n=-5a_{n+1}, a_1=2

3) a_n=-2a_{n-1}, a_1=5

4) a_n=-5a_{n-1}, a_1=2

Plug n=1 into given formula to get first term

a_n=5(-2)^{n-1}

a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) a_n=-2a_{n-1}, a_1=5

7 0
3 years ago
A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen
lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

<em>H₀</em>: The proportion of people who include locally grown foods in their diets is <em>p</em>.

<em>Hₐ</em>: The proportion of people who include locally grown foods in their diets is difference from <em>p</em>.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0
3 years ago
Read 2 more answers
I think of a number, multiply it by 3 and add 4 and i get 22
-BARSIC- [3]
A) 3x+4=22

B) x=6

How to solve the equation: subtract 4 from both sides. You’re left with 3x=18. What is 18 divided by 3?
5 0
3 years ago
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Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

  • If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)


y-7=1/4x-1/2


y=-4x+13/2


4 0
3 years ago
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