Answer:
[tex]a_{14}=-7[/tex]
Step-by-step explanation:
The given sequence is:
6, 5, 4, 3, 2, . . .
The first term of the sequence is:
[tex]a_1=6[/tex]
The common difference is
d=5-6=-1
The nth term of the sequence:
[tex]a_n=a_1+d(n-1)[/tex]
[tex]a_n=6-1(n-1)[/tex]
[tex]a_n=6-n+1[/tex]
[tex]a_n=7-n[/tex]
When n=14
[tex]a_{14}=7-14=-7[/tex]
