Giving brainliest :)))find the 69th term in the arithmetic sequence
2, 5, 8, 11 ...

Answers

Answer 1

Answer:

206 is the answer since you +3 every time

Answer 2

Answer: This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
.
Arithmetic Sequence:
d
=
3
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
2
a
1
=
2
and
d
=
3
d
=
3
.
a
n
=
2
+
(
3
)
(
n
−
1
)
a
n
=
2
+
(
3
)
(
n
-
1
)
Simplify each term.
Tap for more steps...
a
n
=
2
+
3
n
−
3
a
n
=
2
+
3
n
-
3
Subtract
3
3
from
2
2
.
a
n
=
3
n
−
1

= 18

Related Questions

Find the slope of the line through each pair of points (20,18),(-9,-14)
Is the mean always a more accurate measure of center than the median
on sara's computer, 3/8 of the hard drive is files. Of the files, 1/6 are games . What part of the hard drive is games?
A cotton candy holder is shaped like a cone. The height is 12 in., and the diameter is 12 in. What is the volume of the holder? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.. ______in3
The vertices of a pre-image are located at the points (-6,3), (0,0), and (3,6). The end image triangle has coordinates of (-2,1), (0,0), and (1, 2). What type of dilation is it? A: Expansion B: Contraction C: Rotation D: Diagram

Sam took his family to the zoo. An adult's ticket is two times the cost of a child's ticket. The total cost for two adults' tickets and three children's tickets was $28. How much do the tickets cost?

Answers

Hello,

Let x the cost of a child's ticket
2x is the cost of an adult's ticket

2*(2x)+3x=28
==>4x+3x=28
==>7x=28
==>x=4

2x=2*4=8

Proof:
2 adult's tickets: 2*8=16
3 child's tickets: 3*4=12
and 16+12=28.

Adult's ticket cost is 8
Child's ticket cost is 4

C=children's ticket. 2c=adult ticket. 2c+2c+c+c+c=$28. Add the c's: 4c+3c=$28. Keep adding/ 7c=$28. Divide by 7: c=$4. A children's ticket is $4 an adult ticket is $8 :)

Find the value of x in this polygon.

Answers

Answer:

Step-by-step explanation:

you have to add to 180 and 68+112=180

Final answer:

To find the value of x in the polygon, you need more information such as one of the interior angles or the total sum of the interior angles.

Explanation:

To find the value of x in this polygon, you need to use the fact that the sum of all interior angles in a polygon is given by the formula (n-2) * 180 degrees, where n is the number of sides. In this case, since it is not mentioned what polygon it is, we will assume it is a regular polygon. If the polygon is regular and has x sides, then the sum of all interior angles is also (x-2) * 180 degrees. To find the value of x, you would need more information, such as one of the interior angles or the total sum of the interior angles.

Learn more about Solving Polygon Problems here:

brainly.com/question/31620082

#SPJ2

1/7 times x = 1
5/4 times x=1
3 1/2 times x=1
5/7 times x=1

Answers

( i )

$= > (1)/(7) * x = 1 \n \n \n \n = > (1)/(7) * 7 * x = 1 * 7 \n \n \n \n = > x = 7$

( ii ) :

$= > (5)/(4) * x = 1 \n \n \n \n = > (5)/(4) * (4)/(5) * x = 1 * (4)/(5) \n \n \n \n = > x = (4)/(5)$

( iii ) :

$= > 3(1)/(2) * x = 1 \n \n \n \n = > (7)/(2) * x = 1 \n \n \n \n = > (7)/(2) * (2)/(7) * x = 1 * (2)/(7) \n \n \n \n = > x = (2)/(7)$

( iv ) :

$(5)/(7) * x = 1 \n \n \n \n = > (5)/(7) * (7)/(5) * x = 1 * (7)/(5) \n \n \n \n = > x = (7)/(5)$

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6
b. 9
c. 12
d. 15

Answers

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

Answer:

d is the correct answer

Step-by-step explanation:

Explain the steps necessary for solving the following equation. x^2-8x-20=0

Answers

First factor the equation
(x-10)(x+2) = 0
Then solve for (x-10) and (x+2)
x=10
x=-2

(warning: this is quite long :P)
the steps are:

Looking at the expression x² +8x-20,we can see that the first coefficient is 1, the second coefficient is 8 and the last term is -20.
Now multiply the first coefficient (1) by the last term (-20) to get (1)·(-20)=-20.
Now the question is: what two whole numbers multiply to -20 (the previous product).
factors of -20:
1,2,4,5,10,20
-1, -2, -4, -5, -10, -20
note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up to multiply to -20.
1*(-20) = -20
2*(-10) = -20
4*(-5) = -20
(-1)*(20*) = -20
(-2)*(10* = -20
(-4)*(5) = -20
now let's add up each pair of factors to see if one pair adds to the middle coefficient:

first number second number sum

   1    -20 1+(-20)=-19
   2 -10 2+(-10)=-9
   4 -5 4+(-5)= -1
-1 20 -1 +20= 19
-2 10 -2+10=8
-4 5 -4+5=1

From the table above, we can see that the two numbers -2 and 10 multipy to -20 and add up to 8.
Now replace the middle term 8x with -2x+10x. Remember, -2 and 10 add up to 8. so this shows us that -2x+10x=8x.

x²+-2x+10x -20 Replace the second term 8x with -2x +10x.
(x²-2x)+(10x-20) Group the terms into two pairs.
x(x-2x)+(10x-20) Factor out the GCF x from the first group.

x(x-2)+10·(x-2) Factor out 10 from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.

(x+10)·(x-2) Combine like terms. Or factor out thge common term x-2.
-----
ANSWER:

So, x² + 8·x -20 factors to (x+20)·(x-2.
In other words, x² + 8·x-20=(x+10)·(x-2)

THIS IS HARD TO UNDERSTAND, BUT HOPE THIS HELPED YOU! AND HOPE YOU GET IT TOO!!!
:D

Hope it helps :)

I bet no one on here can hit my ovh