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Andrews [41]
3 years ago
14

Find the first 4 terms in each sequence​

Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

a₁ = -21  (Given)

a₂ = -28

a₃ = -35

a₄ = -42

Step-by-step explanation:

First term a₁ = -21  (Given)

…………………………………

Second term a₂ :

a₂ = a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28

…………………………………

Third term a₃ :

a₃ = a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35

…………………………………

Fourth term a₄ :

a₄ = a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42

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Find the mean of this set of numbers.<br><br> 7, –9, 6, –10, –13, –5
ivann1987 [24]
7+(-9)+6+(-10)+(-13)+(-5)=
7-9+6-10-13-5=
-24

mean is the sum of all the numbers divided by the total number of numbers within the data.

-24÷6=-4

The mean is -4.
5 0
3 years ago
Can someone give me the answers for number 3 ? With explanation please?
Olegator [25]
6^{51}6^{48} = 6^{51 + 48}= 6^{99}

(6^5)^7 = 6^ {5 \times 7} = 6^ {35}

6(6^{25}6^{14}) = 6(6^{25+ 14}) = 6(6^{39}) = 6^{39 + 1}= 6^{40}

\dfrac{6^{95}}{6^{19}} = 6^{95 - 19} = 6^{76}


4 0
4 years ago
A rectangle is inscribed in a circle of radius r. If the rectangle is not a square, which of the following could be the perimete
evablogger [386]

Answer:

2r(\sqrt{3}+1)

Step-by-step explanation:

A rectangle is inscribed in a circle of radius r.

Radius of the circle is 'r'  . the diameter of circle is 2 times radius is 2r

The diameter of the circle becomes the diagonal of the rectangle.

The one part of the rectangle forms a triangle with hypotenuse 2r

Triangle is a special 30:60:90 degree angle

the ratio of the special triangle is  1: \sqrt{3} :2

Hypotenuse is '2r' , so the ratio becomes

r: \sqrt{3}r :2r

So the width of the rectangle is 'r'  and length of the rectangle is \sqrt{3}r

Perimeter = 2 times length + 2 times width

perimeter = 2\sqrt{3} r+2r=2r(\sqrt{3}+1)

7 0
3 years ago
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the
hjlf

Answer:

P odd number, then 20) = 1 /14

Step-by-step explanation:

P( odd number) =  number of odd numbers/ total

number of odd numbers = 3

total = 7

P( odd number)   = 3/7

We keep the tile so that there are only 6 tiles left

P (20) = number of 20/ total

          = 1/6

We multiply the probabilities together

P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14

4 0
3 years ago
Can someone help me!!!​
Yanka [14]

Answer:

Step-by-step explanation:

Compare and contrast oceanographers and geologists.

6 0
4 years ago
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