Answer:
[tex]a_{27}=-115[/tex]
Step-by-step explanation:
The given sequence is [tex]15,10,5,...[/tex]
The common difference is d=10-15=-5
The first term of this sequence is [tex]a_1=15[/tex]
We want to find the 27th term in this sequence.
The 27th term is given by:
[tex]a_{27}=a_1+26d[/tex]
We substitute the values to get:
[tex]a_{27}=15+26(-5)[/tex]
[tex]a_{27}=15-130=-115[/tex]