Is it a,b,c,or I don’t know

Mathematics

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Determine if the sequence is arithmetic. If it is, find the common difference. Is the sequence a function ?

BaLLatris [955]

$6)\\r=a_{n+1}-a_n\to r=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\a_1=-7;\ a_2=-10;\ a_3=-11;\ a_4=-13\\\\a_2-a_1=-10-(-7)=-10+7=-3\\a_3-a_2=-11-(-10)=-11+10=-1\\\\a_3-a_2\neq a_2-a_1\\\\\text{It's not an arithmetic sequence}$

$\r=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\8.)\\a_1=4;\ a_2=20;\ a_3=100;\ a_4=500\\\\r=\dfrac{20}{4}=\dfrac{100}{20}=\dfrac{500}{100}=5\\\\10.)\\a_1-30;\ a_2=-45;\ a_3=-50;\ a_4=-65\\\\\dfrac{a_2}{a_1}=\dfrac{-45}{-30}=\dfrac{3}{2}\\\\\dfrac{a_3}{a_2}=\dfrac{-50}{-45}=\dfrac{10}{9}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}$
$12.)\\a_1=-7;\ a_2=-14;\ a_3=-21;\ a_4=-28\\\\\dfrac{a_2}{a_1}=\dfrac{-14}{-7}=2\\\\\dfrac{a_3}{a_2}=\dfrac{-21}{-14}=\dfrac{3}{2}\\\\\dfrac{a_2}{a_1}\neq\dfrac{a_3}{a_2}\\\\\text{It's not a geometric sequence}\\\\\text{It's a function}$

8 0

2 years ago

The slope of the base of an equilateral triangle is -1 and the vertex is the point ( 2 , -1 ). Find the equation of the remainin

AfilCa [17]

Answer: The base of an equilateral triangle is x + y - 2 = 0 and the opposite vertex is (2, -1). Find the equation of the remaining sides.

Step-by-step explanation:

all u do is divied by 2( -1

6 0

2 years ago

Read 2 more answers

Can anyone help with this problem?

Pie

Answer:

The numerator factors to

$(x + 2)(x - 1)$

The denomenator factors to

$(x + 4)(x - 1)$

7 0

2 years ago

Which of the following dose NOT have any rectangular faces? A. Pentagonal prism B. Hexagonal pirámide C. Rectangular prisa D. Sq

Artemon [7]

Dear Sweet21574, the answer is D. Squre pyramid.

8 0

3 years ago

Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b

joja [24]

Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8

4 0

3 years ago