Respuesta :

Question is asking about the pattern of numbers can be produced by the formula

[tex]a_n=3n-4[/tex]

So we will just plug numbers n=1,2,3,4,... ot find the required terms of the pattern


For n=1

[tex]a_n=3n-4[/tex]

[tex]a_1=3*1-4=3-4=-1[/tex]


For n=2

[tex]a_n=3n-4[/tex]

[tex]a_2=3*2-4=6-4=2[/tex]


For n=3

[tex]a_n=3n-4[/tex]

[tex]a_3=3*3-4=9-4=5[/tex]


For n=4

[tex]a_n=3n-4[/tex]

[tex]a_4=3*4-4=12-4=8[/tex]


Using same method we can find more numbers.

Hence required pattern is -1, 2, 5, 8, ...