Question

State true or false For any arithmetic progression, when a fixed number is added or subtracted to each term, the resulting sequence still remains an A.P. with the common difference remaining unchanged.

• A. True
• B. False

Answer 1

The correct option is A True

When any general arithmetic progression has its terms added, subtracted, multiplied or divided by a fixed term, then the resulting sequence is also an A.P. and also the common difference remains the same for the former two and the common difference gets multiplied or divided by the same fixed number in case of the latter. Thus the given statement is true. Answer is '$a$'.