Describe the pattern in each sequence. Then find the next two terms of the sequence

General Arithmetic Progression:  

[tex]\boxed { \boxed {T_n= a_1 + d(n - 1)}}[/tex]


21 , 16 , 11 , 6 ,  1 , -4
  
[tex]a_1 = 21, d = -5[/tex]

[tex]T_n = 21 -5(n - 1)[/tex]

[tex]T_n = 21 -5n + 1[/tex]

[tex]T_n = 22 -5n[/tex]

[tex]\boxed { \boxed {\text {Answer: } T_n = 22 -5n }}[/tex]


-3, 5, 13, 21, 29, 39

[tex]a_1 = -3, d = 8[/tex]

[tex]T_n = -3 + 8(n - 1)[/tex]

[tex]T_n = -3 + 8n - 8[/tex]

[tex]T_n = 8n - 11[/tex]

[tex]\boxed { \boxed {\text {Answer: } T_n = 8n - 11}}[/tex]


44, 16, -12, -40, -68

[tex]a_1 = 44, d = -28[/tex]

[tex]T_n = 44 - 28(n - 1)[/tex]

[tex]T_n = 44 - 28n + 28[/tex]

[tex]T_n = 72 -28n[/tex]

[tex]\boxed { \boxed {\text {Answer: } T_n = 72 - 28n}}[/tex]