Respuesta :

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the [tex]n^{th}[/tex] term.

The expression is as follows:

[tex]a_n=2(-1)^n[/tex]

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

[tex]a_n=2(-1)^n[/tex]

[tex]a_5=2(-1)^5[/tex]

[tex]a_5=2\times (-1)[/tex]

[tex]a_5=-2[/tex]

Therefore, the fifth term in the sequence is -2.