Given: a₄ + a₈ = 24 …(i)

a₆ + a₁₀ = 34 …(ii)

a₄ = a + 3d

a₈ =a + 7d

a₆ =a + 5d

a₁₀=a + 9d

Put the value of a₄ and a₈ in (i)

(a + 3d) + (a + 7d) = 24

a + 5d =12 …(iii)

Put the value of a₆ and a₁₀ in (ii)

(a +5d) + (a +9d) =34

a +7d =17 …(iv)

Subtracting (iii) from (iv), we get

2d = 5

d =

Putting the value of d in (iii), we get

a = 12 - =

Hence, first term is and common difference is