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 :-
Then, 38th term will be :-
Hence, the 38th term of the sequence.= -287
15 performances can be accommodated
<em><u>Solution:</u></em>
Given that,
Each performer for the talent show has 7 minutes for his or her performance
The introduction for the talent show is 25 minutes long
The entire show including the introduction, will last 130 minutes
Thus the remaining time for performances is:
Performance time = 130 minutes - 25 minutes
Performance time = 105 minutes
To find, the number of performances, divide the 105 by 7 minutes
Thus 15 performances can be accommodated