Given the arithmetic sequence a(n)=2n-3,what is the sum of the third and tenth terms?

Answers

Answer 1

Answer:

20

-------------------------

Find the third and tenth terms using the nth term equation, then add them up.

a(3) = 2(3) - 3 = 6 - 3 = 3a(10) = 2(10) - 3 = 20 - 3 = 17

The sum is:

3 + 17 = 20
Answer 2

The sum of the third and tenth terms is 20

Since an arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence:

The third and tenth terms use the nth term equation, then add;

a(3) = 2(3) - 3 = 6 - 3 = 3

a(10) = 2(10) - 3 = 20 - 3 = 17

Therefore the nth term of such sequence would be  [tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

The sum is:

3 + 17 = 20

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

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Related Questions

mohon bantuannya guys soal limit, thanks​

Answers

Answer:

im anserring for brainly points

Step-by-step explanation:

none honestly sorry

Trapezoid K prime is the image of trapezoid K after a series of transformations. On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7). Bella and Marco described the sequence of transformations in different ways. Bella’s Sequence Marco’s Sequence 1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation 2. a rotation of 180 degrees about the origin 3. a translation of 1 unit down 1. a reflection of trapezoid K across the x-axis 2. a dilation by a scale factor of Three-halves with the origin as the center of dilation 3. a translation of 1 unit down Which sequence or sequences are correct and why? Only Bella is correct. Only Marco is correct. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.

Answers

Answer: bella, edge 2021 bb

Trapezoid k was scale factor of Three-halves  and then translated 1 unit down.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, left, right or down,

Trapezoid k was scale factor of Three-halves  and then translated 1 unit down.

Find out more on Transformation at: https://brainly.com/question/1462871

Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?

Answers

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let [tex]x[/tex] denotes number of blankets and [tex]y[/tex] denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

[tex]16x+10y=120[/tex]

Divide this equation by 2.

[tex]8x+5y=60\,\,...(i)[/tex]

Ms. Day bought 9 items.

[tex]x+y=9[/tex]

Multiply this equation by 5.

[tex]5x+5y=45\,\,...(ii)[/tex]

Subtract [tex](ii)[/tex] from [tex](i)[/tex]

[tex]3x=15\\x=5[/tex]

Put [tex]x=5[/tex] in [tex]x+y=9[/tex]

[tex]5+y=9\\y=9-5\\y=4[/tex]

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

solve the system of linear equation by graphing
y=x-7
y=-2x+5​

Answers

Answer: (4,-3)

jfwfhwghfhkhhhsfufufcbvhvus

how do I find a percentage from a discount​

Answers

Answer:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

Step-by-step explanation:

find the value of x

Answers

Answer:

x=104

Explanation

since it's a supplementary angle you do

You do 72+x+4= 180 then solve

72+4+x= 180

x=180-76

x=104

Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?

Answers

Answer:

4.8

Step-by-step explanation:

7.2-2.4=4.8

Answer Raise the decimal to the ruoth

Step-by-step explanation:

PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES

Answers

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Hope it be correct.

please help me marking brainlist
please explain how u got the answer

Answers

answer
v=-35

explanation
add -4 and -31 to get v which is -35

Company had $830,000 in sales, sales discounts of $12,450, sales returns and allowances of $18,675, cost of goods sold of $390,250, and $285,520 in operating expenses. Net income equals:

Answers

Answer: $123,105

Explanation:

Sales                                                                               $830,000

Less: Sales Discounts                             $12,450

         Sales returns                                  $18,675         ($31,125)

Net Sales                                                                        $798,875

Less: Cost of Goods sold                                             ($390,250)

Gross Profit                                                                     $408,625

Less: Operating expenses                                            ($285,520)

Net income                                                                     $123,105

sorry but the last answer is a bit glitched out

Answers

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Help me solve this please!!

Answers

Answer:

The answer is

[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]

Answer:

B

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]

-------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × [tex]\frac{1}{2}[/tex] = 9

¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?

Answers

Answer:

The median is 8.05

Step-by-step explanation:

Use the Proportionality Theorem to solve for X.

Answers

The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

27 to the power of 0.5 times 3 to the power of -0.5

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

someone pls help it's worth tons of points​

Answers

Left to right on each row

X= 8. B= -1. M= 3. X= 4

K = 4. M= 5. N=8. X= -3

P= -7. X= -3. X=8. V=1

Q= ? . N= ? . X= 0

I can’t tell with these bottom two with the ?


If you have any other math questions like this you can use MathPapa calculator

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

please help me i have no idea how to do this and i’m failing

Answers

Answer:

x = 6.4

Step-by-step explanation:

ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4

Answer:

x=5

Step-by-step explanation:

see image

i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.

Please help

What is 2 2/3 - 4/5

Answers

Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

Evaluate at the given value: g(x)=1/7x-1, g^-1 (6)

Answers

answer: 49
to find g^-1 switch the x and y and solve for y
y = 1/7x - 1
x = 1/7y - 1
x + 1 = 1/7y
7(x+1) = y

g^-1 = 7(x+1)
g^-1 (6) = 7(6+1) = 7(7) = 49

Which point on the number line best represents 166 ?
A
B
C
D
7
9
8
B at 7.9
Cat 8.1
D at 8.8
A at 7.3

Answers

Answer:

a and  b

Step-by-step explanation:

well i dk b

Jane works as a tutor for $14 an hour and as a waitress for $11 an hour. This month, she worked a combined total of 93 hours at her two jobs.

Answers

Answer:

3t + 1,023

Step-by-step explanation:

The computation is shown below:

As a tutor it is $14 per hour

As a waitress it is $11 per hour

Total number of hours worked is 93

Now let us assume the number of hours worked as a tutor is t

So as a waiter is 93 - t

Now the equation is

= $14(t) + $11(93 - t)

= 14t + 1,023 - 11t

= 3t + 1,023

Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest

Answers

3 first 2 lgbdjrhfdbbnxvmglkzbldldetlfHlf flan

Help.Calculate the area of the trapezoid

Answers

Answer:

180 in²

Step-by-step explanation:

[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h

3. Subtract (7x + 10)-(-6x + 8).​

Answers

The answer should be 13x+2. You just add 7x+6x=13 then 10-8 which equals 2 and that gives you your answer 13x+2.
Hope this helps.

what is the sum of 8bb-4bb

Answers

Answer:

4bb

Step-by-step explanation:

Answer:

4bb

Step-by-step explanation:

Because you need to combine like terms

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

(This is too easy)

3x+y=32+7x+2y=73 pls solve for x and y

Answers

Answer:

x=41/4 -y

y=41/4 -x

Step-by-step explanation:

What are the coordinates of point S?
(2, -2)

(-2, 2)

(2, 2)

(2, 0)

Answers

Answer:

A: 2, -2

Step-by-step explanation:

the first two represent the x axis and the negative two shows the y axis

Answer:

(2,-2)

Step-by-step explanation:

A set of points is (x,y)

The x-axis is the horizontal line and the y-axis is the vertical line.

Do you see how the point S is in line with 2 on the x-axis? This means that the x point is 2.

Now look across to the y-axis, do you see how point S is in line with -2? This means that the y point is -2.

Put both points together using (x,y)

(2,-2)

Hope this helps!!

- Kay :)

Expand this expression: 0.3(9x + 2)
Plz help

Answers

Step-by-step explanation:

0.3(9x + 2) [Then we multiply to expand]

= 2.7x + 0.6 (Ans)

Subtract 10x−(−7+6x)=

Answers

the answer to this is 4x+7 I believe

Answer:

4x+7

Step-by-step explanation:

help I need it :| :|

Answers

Step-by-step explanation:

x= 2 y = 10

x= 0 y = 8

x= 4 y = 12

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