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Find:nth term of the A.P. $13, 8, 3, -2, ……..$
Given:
Given A.P. is $13, 8, 3, -2, ……..$
To do:
We have to find the nth term of the given A.P.
Solution:
Here,
$a_1=13, a_2=8, a_3=3, a_4=-2$
Common difference $d=a_2-a_1=8-13=-5$
We know that,
nth term $a_n=a+(n-1)d$
Therefore,
nth term $a_n=13+(n-1)(-5)$
$=13+(-5)n+(-1)(-5)$
$=13+5-5n$
$=18-5n$
The nth term of the given A.P. is $18-5n$. 
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