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4 years ago

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Mathematics

2 answers:

Bess [88]4 years ago

8 0

Answer:

Step-by-step explanation:

f(1)=10

n=1

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

f(2)=10-2=8

n=2

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

f(3)=8-2=6

n=3

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

f(4)=6-2=4

so sequence is 10,8,6,4,...

PSYCHO15rus [73]4 years ago

3 0

Answer: The sequence generated is 10, 8, 6, 4, 2, ...

This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2

Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.

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inysia [295]

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

5x+17x+2=90°

22x+2=90°

22x=90-2

22x=88

22x/22=88/22

x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

x+11+x-15=180°

2x-4=180°

2x=180+4

2x=184

2x/2=184/2

x=184/2

x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

Check

A+B=180°

103+77=180°

180°=180°

6 0

3 years ago

Instructions: If varies inversely as and =2 when =8, find when =2. Write the equation using the given information, then use the

grigory [225]

Solution:

Given that;

varies inversely as

$\begin{gathered} y\propto x \\ The\text{ expression ecomes the equation below} \\ y=kx \\ Where\text{ k is the constant} \end{gathered}$

=2 when =8,

$\begin{gathered} y=kx \\ 2=k(8) \\ k=\frac{2}{8}=\frac{1}{4} \\ k=\frac{1}{4} \end{gathered}$

The equation becomes

$\begin{gathered} y=kx \\ y=\frac{1}{4}x \end{gathered}$

The value of when =2

$\begin{gathered} y=\frac{1}{4}x \\ y=\frac{1}{4}(2)=\frac{2}{4}=\frac{1}{2} \\ y=\frac{1}{2} \end{gathered}$

Hence, y = 1/2

3 0

1 year ago

What is the radius of the circle shown below? Round to the nearest whole number

andrey2020 [161]

Answer:

The circle has a radius of 41 inches

Step-by-step explanation:

Circles

There are certain relations in a circle that help us to identify and calculate some of its characteristics.

The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.

But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.

Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:

$r^2=x^2+y^2$

where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore

$r^2=9^2+40^2=1681$

Solving for r

$r=\sqrt{1681}=41\ inches$

The circle has a radius of 41 inches

7 0

4 years ago

Triangle KLM has vertices K(1,3), L(1,1), and M(4,1). Triangle KLM will be translated 3 units to the left and 4 units down. What

kipiarov [429]

With y coordinates down means subtracting and with x coordinations left means subtracting so to find coordinate K’ you take its coordinates (1,3) and do 1-3=-2 and 3-4=-1. K’ is at (-2, -1)

8 0

4 years ago

Please help!! x squared = 36/64

Ulleksa [173]

Answer:

6/8

Step-by-step explanation:

x^2=36/64

x=√36/√64

x=6/8

3 0

3 years ago