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Pie
3 years ago
5

Find the first four terms of a sequence using the recursive definition. Please help

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0

Answer:

2, 5, 9, 19

Step-by-step explanation:

Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)

with f(1) = 2 and f(2) = 5

f(3) = 2f(3 - 2) + f(3 - 1)

     = 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9

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

      = 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19

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Answer: Length: 16, Width = 13. Enjoy math while its not too complicated

6 0
3 years ago
Help me i beg u plzzzz
Ainat [17]
We can say at month 0 she was 43 inches tall.

And at month 18 she was 52 inches tall.

We can say that x is the number of months and y is her height.

Rise/run
y2-y1/x2-x1
52-43/18-0
9/18
1/2

So the slope is 1/2 (which is what you are looking for.) and if you were to write an equation it would be y=1/2x+43

Brainliest my answer if it helps you out?
5 0
3 years ago
(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
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3 0
3 years ago
Please help me i’ve tried so many of these and i can’t figure out how to do it
zheka24 [161]

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

V_{A} = π × 10² × 11 = 1100π ft³

V_{B} = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

\frac{left}{full} × 100%

= \frac{169\pi }{1100\pi } × 100%

= \frac{169}{1100} × 100%

= 15.4% ( to the nearest tenth )

6 0
3 years ago
1. Are we limited to using a trigonometric function only in cases of an object that has a cyclical behavior? Is it possible to m
pentagon [3]

Trigonometric functions are not only used in cases of an object that has a cyclical behavior.

<h3>What is a trigonometric function?</h3>

It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.

Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown <em>angles</em> in geometric figures.

It can also be used to model the fluctuations in temperature data for a particular year.

The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.

Learn more about trigonometry on:

brainly.com/question/24349828

4 0
2 years ago
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