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Effectus [21]
3 years ago
6

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?

Mathematics
2 answers:
Setler79 [48]3 years ago
7 0

Answer:

A

Step-by-step explanation:

u subtract each number by 8 then once u get to 5 u start adding them all by 8

ddd [48]3 years ago
3 0

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

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Writing a recursive formula..
OLEGan [10]
a_1=\frac{24}{2^1}+4=16\\\\a_2=\frac{24}{2^2}+4=10\\\\a_3=\frac{24}{2^3}+4=7\\\\a_4=\frac{24}{2^4}+4=5.5\\\\a_5=\frac{24}{2^5}+4=4.75\\\\a_6=\frac{24}{2^6}+4=4.375\\\vdots\\a_n=\frac{24}{2^n}+4
5 0
3 years ago
Read 2 more answers
A dinner platter is in the shape of a regular decagon. The platter has an area of 161 square inches and a side length of 4.6 inc
REY [17]

When I saw this, I said to myself  "Self !  We don't know anything about
decagons.", and then I went searching online for stuff about decagons.
This just goes to show how stupid I can be when I don't take a little time
to THINK before I go running around screaming.

-- When you draw all the lines from the center to the vertices of the
decagon, you'll have 10 little triangles.

-- The area of the whole thing is 161 square inches, so the area of each
little triangle is 1/10 of that . . . . . <em>16.1 square inches</em>.

-- The area of each little triangle is  (1/2) (base) (height), just like
every other triangle.
The base is the 4.6 inches of one side of the decagon.
              
                                                  Area = (1/2) (base) (height)

Multiply each side by 2:         2 x area = (base) x (height)

Divide each side by (base):  (2 x area) / (base) = height

                              Height = (2 x 16.1) / (4.6) =  <em>7 inches</em> .

Let that be a lesson to both of us.
THINK before you jump.


6 0
4 years ago
the price of a ps5 is $500 but it is sold out in stores. You can purchase one on ebay for $800. What is the percent change of th
statuscvo [17]

Answer:

beinggreat78~here~to~help!

The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.

8 0
3 years ago
Read 2 more answers
Solve the equation 3(x+4.5)=36. If you get stuck, use the diagram.
Stells [14]

Answer:

x=7.5

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x+4.5)=36

Step 1: Simplify both sides of the equation.

3(x+4.5)=36

(3)(x)+(3)(4.5)=36(Distribute)

3x+13.5=36

Step 2: Subtract 13.5 from both sides.

3x+13.5−13.5=36−13.5

3x=22.5

Step 3: Divide both sides by 3.

3x/3=22.5/3

x=7.5

Answer:

x=7.5

6 0
3 years ago
Here is a rule for generating a sequence; 3n+10 What is the 150th term of the sequence generate by this rule?​
slava [35]

Answer:

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<h3><em>Topic </em><em>-</em><em> </em><em>Arithmetic</em><em> </em><em>Progression </em><em>(</em><em> </em><em>AP </em><em>)</em></h3>

  • Given - <u>a </u><u>general </u><u>term </u><u>for </u><u>a </u><u>sequence.</u>

  • To find - <u>the </u><u>1</u><u>5</u><u>0</u><u>t</u><u>h</u><u> </u><u>term </u><u>of </u><u>the </u><u>given </u><u>sequence</u>

so let's start ~

General term , A_{n} = 3n + 10

let's consider certain values of n to get some information with us which will help us solve the problem further !

let's first consider , n = 1 ! then ,

3n  + 10 = 3(1)  + 10 \\ \dashrightarrow \:  13

now , let's consider n = 2

3n + 10 = 3(2) + 10 = 6 + 10 \\ \dashrightarrow \: 16

then , let's consider n = 3

3n  + 10 = 3(3) + 10 = 9 + 10 \\ \dashrightarrow \: 19

hence ,

now we've with us an AP which is as follows -

13 \: , \: 16 \: , \: 19 \: ......

from this Arithmetic Progression ,

we can know that

a = first term = 13

d = common difference = 16 - 13 = 19 - 16 = <u>3</u>

now ,

A _{n} = a + (n - 1)d \\ \implies \: A _{150} = 13 + (149)(3) \\ \implies \: A _{150} = 13 + 447 \\  \pink{\implies \: A  _{150} = 460}

hope helpful :D

3 0
3 years ago
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