Question

If the 6th term of ap is 0 then show that its 33rd term is 3 times its 15th term

Answer 1

a+5d=0 therefore a= -5d

now 33rd term= a+32d= -5d +32d= 27d

3 times 15th term =

3( a+14d) = 3a +42d=3x -5d + 42d= -15d+42d= 27d

hence proved.