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boyakko [2]
3 years ago
10

Choose all the functions that give the sequence:

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Further explanation:

We will put n=1,2,3,4,5 to find which functions give the given sequence

<u>f(n) = 2n − 1</u>

Putting values of n

f(1)=2(1)-1=2-1=1\\f(2)=2(2)-1=4-1=3\\f(3)=2(3)-1=6-1=5

This function doesn't generate the given sequence

<u>f(n) = 2n + 1</u>

Putting values of n

f(1)=2(1)+1=2+1=3\\f(2)=2(2)+1=4+1=5\\f(3)=2(3)+1=6+1=7\\f(4)=2(4)+1=8+1=9\\f(5)=2(5)+1=10+1=11

This function generates the given sequence.

<u>f(n) = 2(n − 1) − 3</u>

Putting values of n

f(1) = 2(1 -1) -3=2(0)-3=0-3=-3\\f(2) = 2(2 -1) -3=2(1)-3=2-3=-1\\f(3) = 2(3-1) -3=2(2)-3=4-3=1

This function doesn't generate the given sequence

<u>f(n) = 2(n − 1) + 3</u>

Putting values of n

f(1) = 2(1 - 1) + 3=2(0)+3=0+3=3\\f(2) = 2(2 - 1) + 3=2(1)+3=2+3=5\\f(3) = 2(3 - 1) + 3=2(2)+3=4+3=7\\f(4) = 2(4 - 1) + 3=2(3)+3=6+3=9

Hence, the functions that produce given sequence are:

f(n) = 2n + 1

f(n) = 2(n − 1) + 3

Keywords: Functions, Sequence

Learn more about functions at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

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I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

<u>Given the following data:</u>

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To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

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Substituting the values, we have:

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Find more information: brainly.com/question/11037225

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Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey
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Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

  • She is standing 48 feet in front of Lester
  • Carey is sitting to Lester's right
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We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

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The formula of length of the sides of the right Δ is:

(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}

Substitute the length of the hypotenuse and the length of the given leg in the formula above

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Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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