Question

State, true or false:

If a, b and c are in A.P. then a + 4, b + 4 and c + 4 are in A.P.

Answer 1

This statement is true.

Explanation:

To prove,

a + 4, b + 4 and c + 4 are in A.P., difference between consecutive terms should be same.

⇒ (b + 4) - (a + 4) = (c + 4) − (b + 4)

⇒ b − a + 4 − 4 = c − b + 4 − 4

⇒ b − a = c − b [As, a, b and c are in A.P., thus this equation is correct]

Hence, yes the terms a + 4, b + 4 and c + 4 are in A.P.