Find the 6th term of the arithmetic sequence below

Question

Find The 6th term of the arithmetic sequence x-3, -x -5, -3x -7

Answer 1

a1 = x-3

a2 = -x-5

a3 = -3x-7 common difference = -2x-2

a4 =-5x -9

a5 =-7x-11

a6 =-9x-13

an=a1 + (n-1)d

a6 = x-3 + (6-1)(-2x-2) = x-3 -10x -10 = -9x-13