For a given arithmetic sequence the common difference d is e

For a given arithmetic sequence, the common difference, d, is equal to 3, and the 42^nd term, a_42, is equal to 154. Find the value of the 10^th term, a_10. a_10 =

Solution

d=3 a₄₂=154

nth term is given by a_0+(n-1)d

a₄₂₌ a₀+(42-1)3

154= a₀+ 123

a₀= 31

a₁₀= 31+(10-1)3 = 31+27=58