Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.

Answer: The correct statements are, The 4th term of the sequence is 9, The domain of the sequence is all natural numbers, and (4,9) lies on the graph.

Step-by-step explanation:

Since, the given sequence, –3, 5, –7, 9, –11, …..

So, we can say that the above sequence has infinite number of terms.

And, we know that the infinite series has the domain of all natural numbers.

So the domain of above sequence = set of all natural numbers.

Since, the 4th term of the sequence = 9

Therefore (4,9) lie on the graph of sequence.

And the 5th term of the function = -11

therefore f(5) = -11

Thus, from the above explanation we can determine the correct statements.

andromache andromache · Answer 2 · 2021-10-28T12:16:27+02:00

The correct statements are

The 4th term of the sequence is 9.
The domain of the sequence is all-natural numbers
And, (4,9) lies on the graph.

Given that,

The sequence is -3, 5, -7, 9, -11, …...

Based on the above information, the following information should be considered:

The given sequence contains an infinite no of terms. A
Also, the infinite series does have the domain for all natural numbers.
That means the domain of the given sequence should be equivalent to the natural numbers set.
As the 4th term should be 9. So, it is (4,9).
And, the 5th term should be -11 so it should be f(5) = -11.

Therefore we can conclude that the above statements should be considered true.

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