Question

Each term of an A. P is doubled. Is the resulting sequence also an A.P? If it is, write it's first term, common difference and nth term.

Answer 1

The general form of an AP is  a,  a+d, a+2d,..... where a is the first term and d is the common difference   If we double the terms,  the new sequence would be 2a, 2a+2d, 2a+4d,...... We can observe that this sequence is also an AP First term is 2a Common difference is 2d  nth term= 2a+(n-1)2d               = 2[a+(n-1)d]