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 = = 1

d₂ = a₃–a₂ = = 1

d₃ = a₄–a₃ = = 1

The difference in sequence is same and comes to be (1).

∴ 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–1

= n–