Given :-
- First term of an AP is -17 .
- Common difference is 5 .
To Find :-
- The formula for the nth term .
Solution :-
We know that the nth term of an AP is given by ,
[tex] T_n = a +(n-1)d [/tex]
where ,
- a is the First term .
- n is the number of the term .
- d is the common difference .
- T_n is the nth term .
On substituting the respective values we have ,
[tex]T_n = -17 + (n -1)5 \\[/tex]
Open the brackets ,
[tex]T_n = -17 + 5n - 5 [/tex]
Simplify ,
[tex]T_n = 5n -22[/tex]
Hence the nth term of the AP is given by 5n -22.
I hope this helps.
