Answer: -287
Step-by-step explanation:
The given pattern: 9, 1, -7, -15, ….
We observe that ,
First term : a=9
Common difference between the terms= 1-9=-8
For Arithmetic sequence , the formula to find the nth term is given by :-
[tex]a_n=a+(n-1)d[/tex]
Then, 38th term will be :-
[tex]a_{38}=9+(-8)(38-1)\\\\=9-8(37)=9-296=-287[/tex]
Hence, the 38th term of the sequence.= -287
