Its very simple. Just substitute the corresponding number of n to the given formula. ♂️
Formula given: [tex]a_n=3n-11[/tex]
Terms required: first five terms [tex](a_1,a_2,..., a_5)[/tex]
Solution:
For the first term,
[tex]a_1=3(1)-11[/tex]
[tex]a_1=3-11[/tex]
[tex]a_1=-8[/tex]
For the second term,
[tex]a_1=3(2)-11[/tex]
[tex]a_1=6-11[/tex]
[tex]a_1=-5[/tex]
For the third term,
[tex]a_1=3(3)-11[/tex]
[tex]a_1=9-11[/tex]
[tex]a_1=-2[/tex]
For the fourth term,
[tex]a_1=3(4)-11[/tex]
[tex]a_1=12-11[/tex]
[tex]a_1=1[/tex]
For the fifth term,
[tex]a_1=3(5)-11[/tex]
[tex]a_1=15-11[/tex]
[tex]a_1=4[/tex]
:-/
