Find the nth term of the following A.P.'s:

Formula Used.

d_n = a_{n + 1} – a_n

a_n = a + (n–1)d

In the above sequence,

a = ;

d₁ = a₂–a₁ = =

d₂ = a₃–a₂ = =

d₃ = a₄–a₃ = =

The difference in sequence is same and comes to be ().

∴ The above sequence is A.P

The n^th term of A.P is a_n = a + (n–1)d

a_n = a + (n–1)d = + (n–1)()

=

= 1 + n