The nth term of a sequence is 20 - n2
Find the third term of the sequence. Which term in the sequence is the first to have a negative value?

Respuesta :

Answer:

11

Fifth term

Step-by-step explanation:

The third term is:

20 − (3)² = 11

If the term is negative:

20 − n² < 0

n² > 20

n > √20

n > 4.47

The first term to have a negative value is the fifth term.

The third term is 11.

The fifth term should be in the sequence is the first to have a negative value.

Given that,

  • The nth term of a sequence is [tex]20 - n^2[/tex] .

Based on the above information, the calculation is as follows:

The third term is

[tex]= 20 - (3)^2[/tex]

= 20 - 9

= 11

Now

If the term is negative:

So,  

n > 4.47

Therefore, we can conclude that

The third term is 11.

The fifth term should be in the sequence is the first to have a negative value.

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