Respuesta :

Step-by-step explanation:

Step 1:  Find a notation

If you look at the pattern, you will see that to get the next number.  You need to add 9 to it.  Therefore the pattern will look like this:

[tex]x_n_+_1=x_n+9[/tex]

Answer:  [tex]x_n_+_1=x_n+9[/tex]

Answer:

Summation(9n - 12)

n ranges from 1 till infinity

Step-by-step explanation:

General form of the sequence:

It is an Arithmetic sequence with:

first term: -3

common difference: 6 - -3 = 9

Nth term: -3 + (n - 1)(9)

-3 -9 + 9n

9n - 12

Summation(9n - 12)

n ranges from 1 till infinity