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DochEvi [55]
3 years ago
12

Given the recursive formula for a geometric sequence find the common ratio, the first four terms, and the explicit formula.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
Since a(n)=-3(a(n-1)) the common ratio is -3, and a(1)=-3 so

a(n)=-3(-3^(n-1)) so the first four terms are:

-3, 9, -27, 81
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The functions, f and g, are defined below.<br> f(x) = 2x² +5<br> g(x)=x-3<br> What is f(g( – 5))
Grace [21]

Answer:

a

Step-by-step explanation:

7 0
4 years ago
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B. Compare and Contrast How are colloids and<br> suspensions different from solutions?
erastova [34]

Step-by-step explanation:

Solutions, colloids and suspensions are the three main classifications of a mixture based on sizes of the particles.

  • A solution is a homogeneous mixture of solutes and solvents.
  • Suspensions are mixtures of small insoluble particles of a solid in a liquid or gas.
  • Colloids are homogeneous mixtures of two phases.

Solutions have the following characteristics:

  • The size of particles is small
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  • The particles pass through ordinary filter papers.
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Suspensions have the following properties:

  • The particles dispersed are large
  • They settle on standing.
  • The particles do not pass through ordinary filter papers
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  • They are cloudy
  • Scatters light.

Colloids have the following properties:

  • Their particles are between those in solutions and suspensions.
  • Their particles do not settle on standing.
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Learn more:

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5 0
3 years ago
The sum of two numbers is 62 . the larger number is 22 more than the smaller number. what are the numbers?
olganol [36]
Let the smaller number be x. 

larger number: 22+x 

x+(x+22)=62 
2x+22=62 
2x=62-22
2x=40 
x=40/2 
x=20 

The smaller number is 20 and the bigger number is 22+20= 42

Hope I helped :)
3 0
3 years ago
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90 is 180% of what number?
KATRIN_1 [288]
Set up a proportion; the percentage is always over a 100. then, cross multiply.
90 180
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6 0
3 years ago
Solve for x in the diagram below..<br><br> 5x°<br> (X+54)°
Marina CMI [18]

Answer: x = 0

Step-by-step explanation: x+5=−5x+5

Add 5x to both sides.

x+5+5x=5

Combine x and 5x to get 6x.

6x+5=5

Subtract 5 from both sides.

6x=5−5

Subtract 5 from 5 to get 0.

6x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.

x=0

7 0
2 years ago
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