Question

If nonzero number is added to each term of an arithmetic progression I'd the resulting sequence also in A,P ? Justify your answer

Answer 1

Answer:

Step-by-step explanation:

Let AP be a, a+d, a+2d...

Let q be the non zero number

Then,

AP becomes a+q, a+q+d, a+q+2d....

As common difference still remains d Therefore it is an AP with first terma+q and common difference d.