Question

Find the common difference of an A.P. whose n^th term is given by a_n = 6_n – 5.

Answer 1

Given, n^th term of A.P. is a_n = 6_n – 5

For n = 1, a₁ = 6(1) – 5 = 1

n = 2, a₂ = 6(2) – 5 = 7

∴ Common difference,

d = a₂ – a₁

= 7 – 1

= 6