Find the 62nd term of the arithmetic sequence
15, 13, 11, ...

Answers

Answer 1

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]


Related Questions

(6x²+2x-1)-(8x²-x-5)​

Answers

Answer:

-2x^2 + 3x + 4

Hope this helps. :D

Step-by-step explanation:

Pls give brainliest.

Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.

Answers

Answer:

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

1.4 is the answer  

Step-by-step explanation: Hey I didn't get an A on my test but i got this one right

QUICK I NEED HELP….PLZ Hurry!! ;-;

Which equation represents a liner function

Equation 1: Y=2x+1
Equation 2: Y^2= 3x+1
Equation 3: y=5x^5-1
Equation 4: Y= 4x^4-1

Answers

Answer: Equation 1: Y=2x+1

Step-by-step explanation:

Farhad George and Tom each did a test here are the marks for the test George drew this bar chart to show the mask they got the butcher is not fully correct write-down two things that are wrong with George bar chart

Answers

Answer:

where is the bar chart can u post an image to help

Find the slope of 3x-y=24

Answers

Answer: slope = 3

Step-by-step explanation: 3x - y = 24

                                             3x - 3x -y = 24 -3x

                                             -y = -3x + 24

                                              -y/-1 = -3x + 24/1

                                               y = 3x - 24

what is the value of x?
please I need step by step solution​

Answers

Answer:

Value of [tex]x=5[/tex]

Step-by-step explanation:

Given that

[tex]3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5[/tex]

which one is not congruent SSS,SAS,AAS,ASA,HL?

Answers

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

I need help please!!!!

Answers

Answer:

MOREEE

Step-by-step explanation:

What is the answer HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Dnbsksks enmendad nsks

If RV = x+6, US = 5x-9, and RS = 11, find VT and ST

Answers

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

RV = x + 6US = 5x - 9RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

2RV = RT = US

[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]

Learn more about Pythagoras theorem here:  https://brainly.com/question/12306722

WILL GIVE BRAINIEST IF CORRECT

Answers

Jeff bought 1.5 pounds of pork.

1 pound of pork = 3.64
0.5 pounds of pork = 1.82 (divided 3.64 by 2 to find 0.5 pounds of pork)

3.64 + 1.82 = 5.46

Jeff also bought 2.5 pounds each of beer and chicken.

1 pound of beef = 5.99
2 pounds of beef = 11.98
0.5 pounds of beef = 2.995 (5.99 divided by 2)

11.98 + 2.995 = 14.975

1 pound of chicken = 4.79
2 pounds of chicken = 9.58
0.5 pounds of chicken = 2.395

9.58 + 2.395 = 11.975

Add up the total amount of the 1.5 pounds of pork and 2.5 pounds each of beef and chicken.

5.46 + 14.975 + 11.975 = $32.41

Answer:

$32.41

Step-by-step explanation:

Given that:

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5  3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5  5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5  4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

What is 12xq+35x14/455

x=multiply
+= addition
/= divide

Answers

Answer:

ı wanna learn abot it

Step-by-step explanation:

ı think u should make -b/2a and b^2-4ac

Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.

Answers

A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]

The graph is given as:

[tex]y = \sqrt[3]{x}[/tex]

Rewrite the function as:

[tex]y = x^\frac{1}{3}[/tex]

The above function is the parent function of a cube root function, and it passes through point (0,0).

See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]

Read more about cube root functions at:

https://brainly.com/question/13793603

Answer: d on edge

Step-by-step explanation:

d

Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

determine if the two triangles are congruent.If they are state how you know

Answers

Answer:

1. yes, both triangles sides are congruent

2. yes, they have congruent sides and they have a congruent angle

3. yes, congruent sides and angle

4. yes, 2 congruent angles

5. no, only one congruent angle not enough proof

6. yes, 2 congruent angles

7. no, only one congruent angle not enough proof

8. no, only one congruent side

yes they are so congruent that they are congruent

What proportion of US women have a height greater than 69.5 inches?

Answers

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].

The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69.5 - 65}{2.5}[/tex]

[tex]Z = 1.8[/tex]

[tex]Z = 1.8[/tex] has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at https://brainly.com/question/24663213

Is this graph a function or not a function

Answers

Answer:

No, it doesn't pass the vertical line test.

Step-by-step explanation:

how will you know if two variables are proportional on a graph?

Answers

Answer:

Compare the constants of the two variables.

Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.

Step-by-step explanation:

Can someone please help me with this

Answers

Answer:

Ted's Organic Market

Step-by-step explanation:

Calculate the unit cost ( price per pound )

From the table using $16.50 for 6 lbs , then

unit cost = $16.50 ÷ 6 = $2.75

From the graph using $8.40 for 3 lbs , then

unit cost = $8.40 ÷ 3 = $2.80

Ted's Organic Market has the better price

what is the answer of the proportion 8/3 = y/13 round your answer to the nearest tenth

Answers

y=34.7 if u round it

twice a number x, minus 16​

Answers

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

(Statistics)Which of the following is NOT a characteristic of a least squares regression line?

Answers

Based on the information given, the option that's correct is E. All the above are characteristics.

It should be noted that when the least square regression line goes through all the points, the sum of squared residuals is 0.

Also, the least-squares regression line makes the sum of the squares of the residuals as small as possible and the slope is usually between -1 and 1. The smaller the residual sum of squares, the better the model fits the data.

Learn more about the least square regression on:

https://brainly.com/question/16975425

Solve each system by elimination

10x-8y=4
-5x+3y=-9

Answers

[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]

Find the slope of the line through each pair of points. (5, −5) (0, −1)

Answers

Answer:

slope = - [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]

PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5

Answers

Answer:

Point C

Step-by-step explanation:

Trust me it is correct

make me brainiest because I answered first pls

What is the degree of 5x^5+8x^2+2x-3x^9-8x^4-4x^5

Answers

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

You record the number x of goals scored by the winning team, and the number y of goals scored by the
losing team for each soccer game during a team's season. Does the relation necessarily represent a function?
Explain.

Answers

Answer:

Step-by-step explanation:

Not necessarily.

For example 2 games could have the score 3-1 and 3-2.

This is a one-to-many mapping which is not a function.

what is the correct solution to the system of equations below?

2x+y=13
y=x-5

Answers

Answer:

2x+y=13

2x + x-5 = 13

3x = 13 + 5

3x = 18

x =18/3

x= 6

now

y = x- 5

y = 6- 5 = 1

thanks marks me as brainliest

I need help putting these together in the correct place​

Answers

Answer:

whats do you mean by that whats the question ❓

EASY 9TH GRADE MATH

Write an equation in point-slope form that passes through the point (1,-10) and
is perpendicular to y = -1/3 x + 5.
Do NOT type spaces between numbers and symbols.
Til
ALE
11
SE

Answers

Answer:

y = 3x - 13

Step-by-step explanation:

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