Answer:
The 25th term of the arithmetic sequence is -41
Therefore [tex]a_{25}=-41[/tex]
Step-by-step explanation:
Given that the first term of arithmetic sequence is 7 and its common difference is -2
It can be written as [tex]a_1=7[/tex] and d=-2
To find the 25th term of the given arithmetic sequence :
The formula for nth term of the arithmetic sequence is
[tex]a_n=a_1+(n-1)d[/tex]
Now substitute n=25, [tex]a_1=7[/tex] and d=-2 in the above formula we get
[tex]a_{25}=7+(25-1)(-2)[/tex]
[tex]=7+(24)(-2)[/tex]
[tex]=7-48[/tex]
[tex]=-41[/tex]
Therefore [tex]a_{25}=-41[/tex]
The 25th term of the arithmetic sequence is -41
