Answer: 110
Step-by-step explanation:
The nth term of an arithmetic progression is given by :-
[tex]a_n=a+(n-1)d[/tex], where a is the first term and d is the common difference .
Given : The first term of the pattern [tex]:a= 185[/tex]
Common difference [tex]:d= -15[/tex]
Now, for n=6 , we have
[tex]a_6=185+(6-1)(-15)\\\\\Rightarrow\ a_6=185-75\\\\\Rightarrow\ a_6=110[/tex]
Hence, the sixth term of the number pattern will be 110.
