Question

nth term of the AP 13,8,3,-2,...

Answer 1

In this Arithmetic Progression,

d=difference between two terms=8-13=-5

a=1st term =13

Nth term if an AP = a+(n-1)d

=13+(n-1)×-5

=13-5(n-1)

Answer 2

First term a1=13
Second term a2=8

Common difference=a2-a1

D=8-13=-5

◆d=-5◆
Now,
an=a+(n-1)d
an=13+(n-1)(-5)
An=13+5-5n

◆◆an=18-5n◆◆ nth term.