What is the 97th term of the arithmetic sequence -16,2,20

Answers

Answer 1

Answer:

1712

Step-by-step explanation:

Given arithmetic sequence is: -16,2,20

Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18

n = 97, [tex] a_{97}=?[/tex]

[tex]\because a_n = a + (n-1)d\\\\

\therefore a_{97}= - 16 + (97-1)\times 18\\\\

\therefore a_{97}= - 16 + 96\times 18\\\\

\therefore a_{97}= - 16 + 1728\\\\

\therefore a_{97}=1,712\\\\[/tex]

Answer 2

Answer:

1712

Step-by-step explanation:

Formula of the sequence:

[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]

So 1712 is the 97th term


Related Questions

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

C. INTO SIXTHS

I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT

I HOPE I WASNT TOO LATE. IF I WAS, SORRY

The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.

What is a number line?

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

As per the given number line,

Since 1 is a whole number and 2 is also a whole number.

The number of intervals between 1 and 2 is 6.

Thus, between consecutive whole numbers divided on the number line is 6.

Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

Simplify
x^2 + 3x + 2 over x+1

Answers

Answer:

x+2

Step-by-step explanation:

factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)

solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0

Answers

Answer:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

-----

4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0

-----

Factor:

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

-----

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

Solve:

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

hope this helps!

Answer:

x = +/-pi/3 or x = -pi/3 or (4/3)pi

Step-by-step explanation:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

4sinxcosx - 2sinx + 2sqrt(3)cosx - sqrt(3) = 0

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

[2cos(x)-1][2sin(x)+sqrt(3)] = 0

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

In how many zeros does 75! end?

Answers

Answer: 0

Step-by-step explanation: 0 because 75 doesn't have a 0

If 12 cookies cost $3 how much would it be for 9 cookies

Answers

$36 is the answer :)
you use ratios. if 12 whole cookies cost only 3 dollars.
12:3
9:x
x is how much it would cost. so try to find x.
x= 2.25
9 cookies cost 2 dollars and 25 cents

what is -5 - 1/2 equal?

Answers

Answer:-5.5

Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5

Answer:

-5.5

Step-by-step explanation:

When you do -5 - 1/2, you get -5.5!

please answer it fast​

Answers

Answer:

c

Step-by-step explanation:

I think it’s c but I’m not sure

Plz help with question

Answers

Answer:

I believe it's B

Step-by-step explanation:

Isosceles triangles have congruent base angles, so base angle A and B should both be the same number. (25)

Added up, 25+25+130 is 180 degrees.

how much does 18cm are in mm

Answers

Answer:
18 cm = 180 mm
Explanation:
18 cm • 10 cm (in one mm) = 180 mm

Does the graph represent a function?
Yes or No

Answers

Answer:

Yes, the graph is a function because the lines do not overlap one another (vertical line test)

- I hope this helps have a great night

Yes but it’s undefined

Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce

Answers

Answer:

The minimum guaranteed mileage is  [tex]x = 71489.55[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 67900[/tex]

     The standard deviation is  [tex]\sigma = 2050[/tex]

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    [tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]

=>  [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]

=>    [tex]z = \frac{ x - 67900 }{ 2050}[/tex]

From the z table, the critical value corresponding to 0.96 to the left of the curve is  

         [tex]z = 1.751[/tex]

So

        [tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]

=>     [tex]x = 71489.55[/tex]

which mixed number is equal to 18/8
2 6/9
2 5/8
2 1/4
1 2/8

Answers

Answer: 2 1/4

Step-by-step explanation:

Multiplication Property of One
1⋅w⋅16

Answers

Answer:

The correct answer is 16w.

Step-by-step explanation:

w = 1w

1⋅w⋅16 =

1⋅1w⋅16 =

16w

Therefore, the correct answer is 16w.

Hope this helps! :D

What is the perimeter of a rectangle with a height of 4 units and a length of 21 units?

A 75 units
B 44 units
С 25 units
D 50 units

Answers

Answer:

С 25 units

Step-by-step explanation:

hope this help

pick me as the brainliest

Answer:D

Step-by-step explanation:

what is the slope of the line that is represented by the values in the table above?​

Answers

Answer:

Answer:

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

slope (m) =6

Step-by-step explanation:

Answer:

whats the answer dang

Step-by-step explanation:

A student club has 20 members how many ways are there for the club to choose a president and a Vice President

Answers

Answer:

Everyone should get president every month simple

Which is the same as 3 feet?

Answers

Answer: 36 inches

Step-by-step explanation:

hope this helps :)

Answer:

i wanna say something mean, buuuuut... water bottle

Step-by-step explanation:

which of the following are vertical asymptotes of the function y=2cot3[x]+4 check all that apply

Answers

This is your perfect answer

Answer:

According to a p e x the answers are x= pi, x=2pi, and x=+- pi/2

....................................

Answers

Answer:

uuuhhhh well i think B maybe

Answer: B

Step-by-step explanation: hope it helps :)

In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140

Answers

Answer:

110,........................

Find the measure of X plz

Answers

Answer:

X = 44°

Step-by-step explanation:

The angle other than 68°and and x is also 68° because its a isosceles triangle.

so 68° + 68° + x = 180° (angle sum property)

136° + x = 180°

x = 180 - 136

= 44°

hope this helps.

Answer:

44

Step-by-step explanation:

two lines are similar so there angel are the Same

Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6

Answers

The answer is d sorry if I’m wrong

Geometry B Final Name Date Period Name the relationship. complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior 1 2) 3) 4) 5) 6) 7) 8)​

Answers

Answer:

but we can't write all the answers here

Answer:

Step-by-step explanation:

1. complementary

2. alt ext

3. supplementary

4. corresponding

5. b=65

6. 34

7. x=7

8.x=18

5) The sales tax in the town where Amanda lives is 5%. Amanda paid $35
in sales tax on a new stereo. What was the price of the stereo?*
O a. $14.29
O b. $1.75
O c. $700
O d. $3,500

Answers

Answer:

$700

Step-by-step explanation:

Given that,

The sales tax in the town where Amanda lives is 5%.

Amanda paid $35  in sales tax on a new stereo.

We need to find the price of the stereo. Let it is x. Using the formula for percentage as follows :

[tex]\%=\dfrac{\text{sales tax}}{\text{total}}\times 100\\\\5\%=\dfrac{35}{x}\times 100\%\\\\x=\dfrac{35\times 100\%}{5\%}\\\\=\$700[/tex]

So, the price of the stereo is $700. Hence, the correct option is(c).

What is the area of this kite?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwNHJBVjU5YmlNNWhaTGZXMmhRVnNJTVJTSWFCSUVGQW5aQTBLVEhDWjEzdGxuY2xyRF9zcHhmVGxqV0ZBbl9IZXl3dlBvcW5SM01XZlFVVnNhNldHUjBmNzVmQS5jZV9xLXlWdzVyXzFWQ1pB?w=400&h=400

a
29 square meters
b
49 square meters
c
39 square meters
d
19 square meters

Answers

Answer:

39 square meters.

Step-by-step explanation:

9 times 3 is 27. You have two triangles with length and width of 9 and 3 so you multiply it and get 27. You also have two smaller triangles of 3 and 4 and if you combine them it is really just a square. It is 3 times 4 which is 12. Now, the answer is 12 + 27 and you get 39 square meters. Hope it helps. Brainliest would be cool

D because if you add all the sides you will get 19 square meters which is the area

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

How would i draw the line y= -x

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days

Answers

There’s no calculations for walking.

She rode a total of 16 2/15 for the 2 days

Answer:

2 8/15

Step-by-step explanation:

Find the possible range of c

Answers

Answer:

53

Step-by-step explanation:

trust me

Graph the equation .
y = 4x + 1

Answers

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

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