Find the 66th term of the arithmetic sequence -10, 7, 24, ...−10,7,24,...

Answers

Answer 1

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095


Related Questions

Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week?

Answers

Answer:

Cups of red paint for a batch of dark pink - 2.5

Number of gallons of red paint that she starts with - 1

Cups of red paint for a batch of light pink - i did not get that one

Step-by-step explanation:

plsss help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. C ≈ 43.9823

2. C ≈ 37.6991

Step-by-step explanation: c=2π · r

Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?

Answers

Answer:

About 12 peanuts.  This is 20% of 60 (nuts and peanuts together)

Step-by-step explanation:

Let  there be a total of n pieces in the mixture.  Then, focusing on raisins, 0.80n = 48, so that n = 60.  Then the number of peanuts is 0.20(60) = 12.

help me i need help!!!!!!!!!

Answers

Answer:

y=88

Step-by-step explanation:

Angles in a triangle equal 180

45 + 47 = 92

180 - 92 = 88

Answer:

88

Step-by-step explanation:

The two other angles add up to 92. Because the angles of a triangle, 180-92=y. We subtract to get 88.

What’s that answer please

Answers

it is an isosceles triangle :)

(︶^︶)Brainliest for everyone!!!! ohh wait ????

Answers

Answer:

[tex]\frac{81}{256}[/tex]

Step-by-step explanation:

[tex](\frac{3}{4})^4 \\\rule{150}{0.5}\\\\\text{Note the exponent rule: }( \frac{a}{b}) ^c = \frac{a^c}{b^c} \\\rule{150}{0.5}\\\\\frac{3^4}{4^4}\\\\\rightarrow 3^4 = 81\\\rightarrow 4^4 = 256\\\\\boxed{\frac{81}{256}}\\\\\text{The answer is already in it's simplest form.}[/tex]

HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given expression;}\\[/tex]

[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]

[tex]\textsf{By doing cross multiplication, we get}\\[/tex]

[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]

[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]

[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]

[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]

[tex]\textbf{Read more:}[/tex]

[tex]\textsf{Similar Questions}[/tex]

Solve the expression and find the value of x. [tex] \frac{x⁠…

https://brainly.com/question/25420312

The final amount of 893 decreased by 19% followed by a 17% decrease

Answers

Answer:

the answer is 600.36_____

Use the Distributive Property to
simplify the following:
7(y + 3) =

Answers

Answer:

7y+21

Step-by-step explanation: i solve it hope this help.

Answer:

[tex]\bold{7y+21}[/tex]

Step-by-step explanation:

Hi there!

Let's solve this math problem by using the Distributive Property.

All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):

[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]

Hope it helps! Enjoy your day!

~ Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Expression Twins
Write 10 expressions, then rewrite them by using
mathematical properties or simplifying by combining like terms to create an
equivalent "twin" expression. Examples:
y + y + y = 3y
4(2y + 5) = 8y + 40
Make a fake birth
announcement to display your Expression Twins!

Answers

Answer:

Step-by-step explanation:

You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?

Answers

the lamp is 12.5 feet

The ratio of roses to tulips is 2:3. What percent of the flowers are roses?

Answers

Answer:

  40%

Step-by-step explanation:

Roses are 2/(2+3) = 2/5 = 2/5×100% = 40% of the total.

Need only #6 done (Show work) will give brainliest

Answers

Answer:

See below

Step-by-step explanation:

Statements                     | Reasons

C is the midpoint of AB | Given

AC = 2x + 1                      | Given

CB = 3x - 4                      | Given

AC = CB                          | Definition of midpoint

2x + 1 = 3x - 4                  | Substitution property

3x - 2x = 1 + 4                  | Addition property of equality

x = 5                                 | Proved

The line is as below:

A-----------------C----------------B

     2x + 1               3x - 4

if f(x)=3x+7, find: f(-2)= [?]

Answers

Answer:

1

Step-by-step explanation:

substitute -2 for x

3(-2) + 7

-6 + 7

1

hope it helps :)

mark brainliest!!

When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?

Answers

Answer:

I think it is 68.5714285714 cubic inches

Step-by-step explanation:

4.
What property could you use to show that these two triangles are congruent?

Two triangles
HL
SSS
SAS
ASA

Answers

Answer:

All four

Step-by-step explanation:

SSS, SAS, ASA, and HL

For her softball uniform, Meredith has a green, white, or striped jersey. She also has white or green shorts. If Meredith chooses a
jersey and shorts randomly, what is the probability that she will go to softball practice in a striped jersey and green shorts?

1

5/6

1/5

1/6


Answers

Answer:

Mabey B) if someone else says other wise follow them.

The probability that she will go to softball practice in a striped jersey and green shorts is 1/6.

what is Probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given:

Meredith has a green, white, or striped jersey.

So, probability that she will go to softball practice in a striped jersey and green shorts

= 1/3 x 1/3

= 1/6

Hence, probability that she will go to softball practice in a striped jersey and green shorts is 1/6.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51

Answers

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).

Answers

(-13, -6), (7, 15) = 1.05

Equation: y = 1.05x + 7.65.

The entered points belong to an increasing, linear function.

Answer:

m = rise / run = 21/20, or m = 1.05

Step-by-step explanation:

If the lines are parallel, their slopes are identical.  So we can find the slope of line 1 and know that it's also the slope of line 2.

From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7.  Thus, the "run" in m = rise / run is 20.  Likewise, the "rise" is 21.

Thus the slope in question is m = rise / run = 21/20

2. Kendall skated around the park 15 times in 25 minutes. If Kendall continues to skate at the same speed, how many times will he skate around the park in 48 minutes?​

Answers

Answer:

28.8 rounds.

Step-by-step explanation:

Solve this using ratio

---------

15 rounds / 25 minutes

---------

Find out how many rounds per minutes: 25/15

1 round / (5/3) minutes

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

48 divided by (5/3) to get rounds now.

---> (48*3)/5 ---> 144/5 ---> 28.8

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

28.8 rounds. So she only completed 28 full rounds as she didn't manage to complete 29 just yet.

Use the graph to determine which statement describes f(x).
5.
y=f(x)
-5
5
--5
O A. f(x) does not have an inverse function, because its graph fails the
vertical line test.
O B. f(x) does not have an inverse function, because its graph fails the
horizontal line test.
c. f(x) has an inverse function, because its graph passes the
horizontal line test.

Answers

Should be D
An inverse of a graph is reflected over y=x

please help me. i don't understand

Answers

Answer:

#9 the answer is 7

Step-by-step explanation:

so start with what you know. the sum of the angles in a triangle equal 180 degrees

so...

(x + 13) + (17x - 7) + 48 = 180

now just combine like terms

18x + 54 = 180

18x = 126

x = 7

the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides​

Answers

Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.

Would appreciate brainly <3

Simplify. 54+4(3/4−1/2)2

Answers

Answer:

56

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

Which table is not a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation

Answer:

D

Step-by-step explanation:

sequence in the earnings is unproportional difference between 27 and 54 is not 9

Jaycee and Tyler are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised 210$. If Jaycee raised 70$ how many candy bars did he sell?

Answers

Answer:

28 bars because 84/3 = 28

Step-by-step explanation:

5(a-b) if a=-4 and b=-2

Answers

5(a-b) if a=-4 and b=-2

5(-4--2)

5(-4+2)

5(-2)

-10

Answer: -10

Answer:

The expression equals -10.

Step-by-step explanation:

First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.

sum of all positive integers up to 1000

Answers

Step-by-step explanation:

995. Therefore, the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2 is 50000.

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

Answer:

Step-by-step explanation:

Tan (theta) = opposite / adjacent

theta = 60 degrees

opposite = 15

adjacent = opposite / Tan(theta)

adjacent = 15 / tan(60)

tan(60) = sqrt(3)

sqrt(3) =  1.732

adjacent = 15 /1.732

answer: adjacent = 8.6603

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