Question

Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...

Answer 1

We have a₁ = 0, a₂ = 2, a₃ = 0 and a₄ = 2

a₂ – a₁ = 2

a₃ – a₂ = – 2

a₄ – a₃ = 2

Clearly, the difference of successive terms is not same,

Therefore given list of numbers does not form an AP.