Answer:
[tex]a_{n} = 7n + 10[/tex]
Step-by-step explanation:
4 - (-3) = 7
11 - 4 = 7
The common difference (d) is 7
The formula for nth term of an arithmetic progression is [tex]a_{n} = d * n + a_{1} - d[/tex]
. In this example we have d = 7 and [tex]a_{1} = -3[/tex]
[tex]a_{n} = 7 * n + 3 - 7\\a_{n} = 7n + 10\\[/tex]
NOTE: [tex]a_{1}[/tex] represents the first term in the sequence (-3 , 4 , 11) hence -3
