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jonny [76]
3 years ago
8

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

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0
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}


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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.
Mumz [18]

We have

81-49n^4=9^2-(7n^2)^2

so this is indeed a difference of squares. Factorizing would give

81-49n^4=(9-7n^2)(9+7n^2)

making the answer D.

We can further factor the first term here and write

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but that's clearly out of the scope of this question.

7 0
3 years ago
Can someone help me with this?
Mandarinka [93]

Answer:

Step-by-step explanation:

Area of rectangle = length * width

                             = (x + 4) (5x)

                             = x *5x + 4 *5x

                            = 5x² + 20x

Perimeter of rectangle = 2*(length + width)

                                     = 2*(x + 4 + 5x)

                                     = 2*(6x + 4)

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4 0
3 years ago
5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in
hram777 [196]
X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
4 0
3 years ago
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