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ycow [4]
3 years ago
15

A sequence has the recursive definition f(1)= 2/3, f(n)= f(n-1)•

Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Answer:

Explanation:

f(3) = (3 - 1) • 3/2
f(3) = 2 • 3/2
f(3) = 3

f(4) = (4 - 1) • 3/2
f(4) = 3 • 3/2
f(4) = 9/2

f(5) = (5-1) • 3/2
f(5) = 4 • 3/2
f(5) = 6

f(6) = (6-1) • 3/2
f(6) = 5 • 3/2
f(6) = 15/2

f(7) = (7-1) • 3/2
f(7) = 6 • 3/2
f(7) = 9
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Which function has a range of y &lt; 3?<br> y=3(2)*<br> y=2(3)<br> y=-(2)*+ 3<br> O y=(2]*_3
jasenka [17]

Answer:

The function given by y = - (2)^{x} + 3 will have a range of y < 3.

Step-by-step explanation:

The function given by y = - (2)^{x} + 3 will have a range of y < 3.

This is because, for any real values of x, the term - (2)^{x} will have a negative value. If we put x = 1, then, - (2)^{x} = - 2, and for x = -1, then - (2)^{x} = - 0.5.

That means - (2)^{x} < 0 for all real x.

Hence, - (2)^{x} + 3 < 0 + 3

⇒ y < 3 for all real x. (Answer)

7 0
3 years ago
What is "the sum of twice a number and six is the same as three subtracted from the number itself"?
inysia [295]

Answer:

x=-1

Step-by-step explanation:

2x+6=3-x

Step 1: Simplify both sides of the equation.

2x+6=3−x

2x+6=3+(−x)

2x+6=−x+3

Step 2: Add x to both sides.

2x+6+x=−x+3+x

3x+6=3

Step 3: Subtract 6 from both sides.

3x+6−6=3−6

3x=−3

Step 4: Divide both sides by 3.

3x/3=−3/3

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Answer:

x=−1

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I added a picture explaining how I worked it out!

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madreJ [45]

Answer:

A

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