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irga5000 [103]
3 years ago
8

What must be true to find the sum of a infinite sequence?

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

The series must be decreasing, and the limit as the n-th term goes to infinity should be 0.

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Which of the following is a common sign that a chemical change has occurred?

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Solve 3 and 2/3 minus 2 and 4/7 equals blank.
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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
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Options

  • (A)g(5) = 12
  • (B)g(1) = -2
  • (C)g(2) = 4
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Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

  1. The value(s) of x must be between -1 and 4
  2. The values of g(x) must be between 0 and 18.
  3. g(-1)=2
  4. g(2)=9

We consider the options and state why they are true or otherwise.

<u>Option A: g(5)=12</u>

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

<u>Option B: g(1) = -2 </u>

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

<u>Option C: g(2) = 4 </u>

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

<u>Option D: g(3) = 18</u>

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

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zhannawk [14.2K]

Answer:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

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3 years ago
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