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Ronch [10]
2 years ago
14

Identify the explicit formula for the sequence given by the following recursive formula:

Mathematics
1 answer:
Alex787 [66]2 years ago
7 0

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

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Hello! Could you please help with these? It was due quite a long time ago. I have a D in this class and need to get my grades up
Digiron [165]

Answer:

16. y=7x

17. y=0.5x

18. y=3x

19. y=2x

Step-by-step explanation:

Equation is y=kx where k is a constant of proportionality.

16.

\frac{y}{x}=\frac{10.5}{1.5}=\frac{14}{2}=\frac{24.5}{3.5}=\frac{35}{5}=7

So, equation is y=7x

17.

\frac{y}{x}=\frac{1}{2}=\frac{2}{4}=\frac{2.5}{5}=\frac{3.5}{7}=\frac{1}{2}=0.5

Equation is y=0.5x

18.

\frac{y}{x}=\frac{6}{2}=\frac{9}{3}=\frac{15}{5}=\frac{18}{6}=3

Equation is y=3x

19.

\frac{y}{x}=\frac{4}{2}=\frac{8}{4}=\frac{14}{7}=\frac{18}{9}=2

Equation is y=2x

4 0
3 years ago
X-5=11-3x solve for x
defon

Answer:

4

Step-by-step explanation:

x-5=11-3x

+5 +5

x=16-3x

+3x +3x

4x=16

--- ----

4 4

//x= 4//

// have a great day //

6 0
2 years ago
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Alborosie

Topic:

Multiplying Polynomials

Answer:

Polynomial 1:

  • Simplified Form: 6x^2 - x - 1
  • Name by Number of Terms: trinomial

Polynomial 2:

  • Name by Degree: linear
  • Name by Number of Terms: binomial

Polynomial 3:

  • Simplified Form: 2
  • Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

(x-1/2)(6x+2)

6x^2 - 3x + 2x - 1

6x^2 - x - 1

It has 3 terms, so it's a <u>trinomial</u>.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's <u>linear</u>.

There are 2 terms, so it's a <u>binomial</u>.

Polynomial 3:

4(5x^2-9x+7)+2(-10x^2+18x-13)

20x^2 - 36x + 28 -20x^2 + 36x - 26

28 - 26

2

Since there are no variables and the answer is just 2, it's a <u>constant</u>.

Note: I took a test on this and it seemed to be all correct

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2 years ago
Add.
Schach [20]
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lesantik [10]
Multiply 8cm by 4cm.

( 8 x 4 = ? )

8 x 4 = 32 because ( 8, 16, 24, 32)

Half it. Which then gives you 16.

=16
8 0
3 years ago
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