Answer:
The nth term is [tex]a_n = 4 - 5(n-1)[/tex]
The 60th term of the sequence is -291.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
The nth term is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
4,-1,-6
The common difference is:
[tex]d = -1 - 4 = -5[/tex]
First term [tex]a_1 = 4[/tex]
So
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = 4 - 5(n-1)[/tex]
60th term:
[tex]a_{60}[/tex]. Si
[tex]a_{60} = 4 - 5(60-1) = -291[/tex]
The 60th term of the sequence is -291.
